Team Comparisons
import csv
import numpy as np
import pandas as pd
from sklearn.linear_model import LogisticRegression
Import Data
Stats = []
with open('TI9.csv', newline = '') as csvfile:
spamreader = csv.reader(csvfile, delimiter = ',', quotechar='|')
for row in spamreader:
Stats.append(row)
Games Array
Team1 = []
Team2 = []
Winner = []
i = 0
for game in Stats:
if i == 0:
i += 1
else:
Team1.append(Stats[i][1])
Team2.append(Stats[i][4])
Winner.append(Stats[i][7])
i += 1
Total Wins per team
Teamlist = ['OG','Team Liquid', 'PSG.LGD','Team Secret','Vici Gaming','Evil Geniuses','Royal Never Give Up','Infamous Gaming', 'Newbee', 'TNC Predator','Virtus.pro','Fnatic','Alliance','Mineski','Natus Vincere', 'Chaos Esports Club', 'KEEN GAMING', 'Ninjas in Pyjamas']
wij = np.zeros((len(Teamlist), len(Teamlist)))
wincounts = []
for x in Teamlist:
wincounts.append(Winner.count(x))
Wins i vs j matrix
binWins = np.zeros(len(Winner))
for i in range(len(Winner)):
if Winner[i] == Team1[i]:
binWins[i] = 1
d = {'Radiant':Team1, 'Dire':Team2, 'Winner':binWins}
index_dict = {'OG':0,'Team Liquid':1,'PSG.LGD':2,'Team Secret':3,'Vici Gaming':4,'Evil Geniuses':5,'Royal Never Give Up':6,'Infamous Gaming':7,'Newbee':8,'TNC Predator':9,'Virtus.pro':10,'Fnatic':11,'Alliance':12,'Mineski':13,'Natus Vincere':14,'Chaos Esports Club':15,'KEEN GAMING':16,'Ninjas in Pyjamas':17}
games = pd.DataFrame(data = d)
Wi = pd.DataFrame(np.array([wincounts]), columns = Teamlist)
np.array(wincounts)
for n in range(len(games.loc[:,'Radiant'])):
i = games.loc[n,'Radiant']
j = games.loc[n,'Dire']
if games.loc[n,'Winner'] == i:
wij[index_dict[i],index_dict[j]] += 1
else:
wij[index_dict[j],index_dict[i]] += 1
To implement the Bradley Terry Model as a GLM we will be relying on the logistic model for binomially distributed data as implemented by Jamil, 2010 such that logit(p(i>j))= log(p(i>j)/(1-p_(i>j)) = lamda_i - lambda_j
Model Matrix
From here we should be able to apply the logit model as we have pij, X and unknowns lambda where logit[pij] = X*Lambda
Our inputs are clearly 2 teams with an output vector as 0 or 1 depending whether team 1 or team 2 wins
Lets do some quick Data fixing on our existing design and response matrixes
"""Number of teams"""
k = len(Teamlist)
N = len(Winner)
X = np.zeros((N,k))
def designMatrix(data, index_dict):
""" Creates a design matrix for standard Bradley Terry Model"""
N = len(data.index)
k = len(index_dict.keys())
X = np.zeros((N,k))
gameNumber = 0
for index, row in data.iterrows():
X[gameNumber][index_dict[row[0]]] = 1
X[gameNumber][index_dict[row[1]]] = -1
gameNumber +=1
return(X)
gameNumber = 0
for index, row in games.iterrows():
X[gameNumber][index_dict[row['Radiant']]] = 1
X[gameNumber][index_dict[row['Dire']]] = -1
gameNumber+= 1
def BTfit(X, Y, Teamlist, tol):
N = len(Y)
k = len(Teamlist)
X = np.matrix(X)
Xt = np.matrix.transpose(X)
XXt = np.dot(X,Xt)
Y = np.matrix(Y)
Y = np.matrix.transpose(Y)
rankings = np.matrix(np.random.rand(k,1))
tol = 1
t = 0
while tol > 0.00001:
p = np.exp(np.dot(X,rankings))/(1+np.exp(np.dot(X,rankings)))
gradient = np.matrix(np.zeros((1,k)))
hessian = 0
for i in range(N):
gradient += np.multiply(X[i],Y[i]) - np.multiply(X[i],p[i])
hessian += XXt.item((i,i))*p[i]*(1-p[i])
oldrankings = np.matrix.transpose(rankings)
rankings = oldrankings + (1/hessian)*gradient
tol = np.dot(rankings-oldrankings, np.matrix.transpose(rankings-oldrankings))
rankings = np.matrix.transpose(rankings)
ranks = np.asarray(rankings)
ranks = np.ndarray.tolist(ranks)
data = {"Teams":Teamlist, "Ranks":ranks}
Teamskills = pd.DataFrame(data)
return(Teamskills)
test = designMatrix(games, index_dict)
test2 = BTfit(test, binWins, Teamlist,1)
print(test2)
X = np.matrix(X)
Xt = np.matrix.transpose(X)
XXt = np.dot(X,Xt)
Y = np.matrix(binWins)
Y = np.matrix.transpose(Y)
rankings = np.matrix(np.random.rand(k,1))
tol = 1.
Teams Ranks 0 OG [2.223996417056659] 1 Team Liquid [1.1851946232385056] 2 PSG.LGD [1.8624231844507013] 3 Team Secret [1.2566211033352124] 4 Vici Gaming [0.8380030726948385] 5 Evil Geniuses [0.7229158158587453] 6 Royal Never Give Up [0.08927987406495086] 7 Infamous Gaming [0.22901577402618373] 8 Newbee [0.5977639705022241] 9 TNC Predator [0.6097167514732124] 10 Virtus.pro [0.016966445956320273] 11 Fnatic [0.018737803680874607] 12 Alliance [0.47173001026991573] 13 Mineski [0.6843801001655441] 14 Natus Vincere [-0.005957517440294585] 15 Chaos Esports Club [-0.7721866523994098] 16 KEEN GAMING [-0.26450057050030346] 17 Ninjas in Pyjamas [-1.026936522257683]
while tol > 0.00001:
p = np.exp(np.dot(X,rankings))/(1+np.exp(np.dot(X,rankings)))
gradient = np.matrix(np.zeros((1,k)))
hessian = 0
for i in range(N):
gradient += np.multiply(X[i],Y[i]) - np.multiply(X[i],p[i])
hessian += XXt.item((i,i))*p[i]*(1-p[i])
oldrankings = np.matrix.transpose(rankings)
rankings = oldrankings + (1/hessian)*gradient
tol = np.dot(rankings-oldrankings, np.matrix.transpose(rankings-oldrankings))
rankings = np.matrix.transpose(rankings)
Hero Ratings
heroes1 = []
heroes2 = []
i = 0
for game in Stats:
if i == 0:
i += 1
else:
heroes1.append(Stats[i][2])
heroes2.append(Stats[i][5])
i += 1
heroes1
['Io Tiny Abaddon Timbersaw Gyrocopter', 'Rubick Tidehunter Ogre Magi Templar Assassin Juggernaut', 'Tidehunter Templar Assassin Shadow Shaman Lifestealer Enigma', 'Tidehunter Chen Rubick Templar Assassin Meepo', 'Elder Titan Rubick Faceless Void Shadow Fiend Dark Seer', 'Elder Titan Rubick Sven Dark Seer Templar Assassin', 'Tiny Faceless Void Mirana Tinker Shadow Demon', 'Elder Titan Rubick Magnus Wraith King Bristleback', 'Chen Tidehunter Earth Spirit Leshrac Meepo', 'Chen Alchemist Tidehunter Rubick Legion Commander', 'Shadow Demon Sand King Jakiro Sven Dragon Knight', "Elder Titan Faceless Void Pangolier Nature's Prophet Zeus", 'Tiny Omniknight Windranger Crystal Maiden Bristleback', 'Leshrac Tidehunter Lion Earth Spirit Medusa', 'Elder Titan Alchemist Rubick Ember Spirit Dark Seer', 'Mirana Ogre Magi Tidehunter Faceless Void Tinker', 'Tiny Faceless Void Witch Doctor Enigma Abaddon', 'Magnus Shadow Shaman Silencer Phantom Lancer Riki', 'Ancient Apparition Sand King Tiny Rubick Arc Warden', 'Abaddon Ember Spirit Mirana Centaur Warrunner Lifestealer', 'Enchantress Invoker Rubick Juggernaut Sand King', 'Enchantress Earthshaker Faceless Void Tiny Oracle', 'Enchantress Earth Spirit Crystal Maiden Terrorblade Lina', 'Mirana Sand King Sven Lion Necrophos', 'Leshrac Shadow Shaman Warlock Wraith King Abaddon', 'Ogre Magi Wraith King Ancient Apparition Shadow Shaman Death Prophet', 'Enchantress Tiny Witch Doctor Faceless Void Lina', 'Mirana Wraith King Witch Doctor Omniknight Alchemist', 'Tidehunter Invoker Elder Titan Lifestealer Kunkka', 'Kunkka Nyx Assassin Oracle Brewmaster Juggernaut', 'Leshrac Elder Titan Axe Shadow Shaman Sven', 'Shadow Demon Leshrac Rubick Underlord Anti-Mage', 'Shadow Demon Mirana Kunkka Wraith King Batrider', 'Shadow Demon Leshrac Elder Titan Faceless Void Omniknight', 'Shadow Demon Alchemist Leshrac Abaddon Shadow Shaman', 'Mirana Sand King Ogre Magi Slark Weaver', 'Shadow Demon Leshrac Tidehunter Rubick Sven', 'Enchantress Earthshaker Chen Tiny Wraith King', 'Enchantress Shadow Demon Earthshaker Ember Spirit Sven', 'Visage Tiny Beastmaster Grimstroke Lifestealer', 'Warlock Earth Spirit Beastmaster Sven Sniper', 'Phantom Assassin Witch Doctor Kunkka Rubick Omniknight', 'Io Gyrocopter Tidehunter Shadow Shaman Necrophos', 'Leshrac Abaddon Shadow Demon Ember Spirit Anti-Mage', 'Earthshaker Grimstroke Juggernaut Tiny Broodmother', 'Ancient Apparition Tiny Bristleback Earthshaker Razor', 'Ancient Apparition Sand King Tiny Lifestealer Queen of Pain', 'Elder Titan Gyrocopter Lion Pangolier Terrorblade', 'Tidehunter Rubick Gyrocopter Ogre Magi Sven', 'Omniknight Invoker Gyrocopter Elder Titan Winter Wyvern', 'Windranger Tiny Elder Titan Gyrocopter Ember Spirit', 'Alchemist Abaddon Crystal Maiden Tiny Mirana', 'Ogre Magi Warlock Mars Pugna Monkey King', 'Elder Titan Leshrac Wraith King Puck Mars', 'Lina Ogre Magi Lich Juggernaut Batrider', 'Elder Titan Ember Spirit Ogre Magi Visage Shadow Fiend', 'Ancient Apparition Sven Earthshaker Death Prophet Enchantress', 'Ancient Apparition Storm Spirit Shadow Shaman Ogre Magi Juggernaut', 'Crystal Maiden Bristleback Storm Spirit Axe Morphling', 'Warlock Axe Tidehunter Storm Spirit Alchemist', 'Invoker Legion Commander Techies Jakiro Slark', 'Invoker Ogre Magi Kunkka Slark Outworld Devourer', 'Kunkka Crystal Maiden Enchantress Storm Spirit Drow Ranger', 'Shadow Demon Wraith King Beastmaster Windranger Tinker', 'Mars Skywrath Mage Dark Willow Bristleback Gyrocopter', 'Leshrac Abaddon Warlock Storm Spirit Wraith King', 'Sand King Shadow Demon Lina Gyrocopter Outworld Devourer', 'Gyrocopter Naga Siren Undying Sand King Earth Spirit', 'Rubick Beastmaster Witch Doctor Wraith King Meepo', 'Enchantress Lifestealer Ancient Apparition Earthshaker Pugna', 'Alchemist Shadow Demon Dark Willow Centaur Warrunner Queen of Pain', 'Elder Titan Razor Grimstroke Batrider Slark', 'Silencer Tiny Broodmother Leshrac Juggernaut', 'Invoker Kunkka Jakiro Spectre Axe', 'Ember Spirit Elder Titan Crystal Maiden Enigma Tinker', 'Invoker Tiny Crystal Maiden Slark Pudge', 'Elder Titan Gyrocopter Invoker Tiny Axe', 'Tiny Ogre Magi Silencer Faceless Void Lina', 'Elder Titan Crystal Maiden Ember Spirit Timbersaw Morphling', 'Mirana Kunkka Warlock Sven Axe', 'Witch Doctor Tiny Phantom Assassin Pangolier Magnus', 'Ogre Magi Lina Sven Grimstroke Clinkz', 'Magnus Crystal Maiden Bloodseeker Ember Spirit Zeus', 'Tidehunter Elder Titan Shadow Shaman Gyrocopter Underlord', 'Mirana Outworld Devourer Lich Slark Abaddon', 'Silencer Tiny Kunkka Chaos Knight Beastmaster', 'Enchantress Warlock Earth Spirit Spectre Viper', 'Ogre Magi Shadow Demon Tidehunter Lifestealer Kunkka', 'Shadow Demon Kunkka Lina Beastmaster Templar Assassin', 'Chen Lina Earthshaker Arc Warden Grimstroke', 'Oracle Death Prophet Dark Willow Axe Alchemist', "Warlock Shadow Shaman Alchemist Nature's Prophet Queen of Pain", 'Ogre Magi Ancient Apparition Wraith King Invoker Tiny', 'Beastmaster Shadow Demon Mirana Ember Spirit Timbersaw', 'Chen Ogre Magi Sven Batrider Templar Assassin', 'Mirana Kunkka Bane Morphling Slardar', 'Enchantress Pangolier Elder Titan Ember Spirit Gyrocopter', 'Shadow Demon Leshrac Lina Tidehunter Dragon Knight', 'Alchemist Witch Doctor Rubick Omniknight Shadow Fiend', 'Kunkka Ancient Apparition Slardar Wraith King Nyx Assassin', 'Crystal Maiden Tiny Leshrac Naga Siren Timbersaw', 'Omniknight Leshrac Ancient Apparition Sven Grimstroke', 'Mirana Slark Warlock Outworld Devourer Beastmaster', 'Ancient Apparition Tiny Shadow Shaman Naga Siren Enchantress', 'Nyx Assassin Kunkka Grimstroke Slardar Huskar', 'Centaur Warrunner Dark Willow Timbersaw Morphling Tiny', 'Ogre Magi Lifestealer Magnus Templar Assassin Batrider', 'Tidehunter Rubick Gyrocopter Bane Terrorblade', 'Shadow Demon Death Prophet Earth Spirit Juggernaut Enigma', 'Crystal Maiden Omniknight Gyrocopter Enigma Dragon Knight', 'Gyrocopter Chen Axe Rubick Anti-Mage', 'Kunkka Ancient Apparition Shadow Shaman Phantom Assassin Abaddon', 'Ogre Magi Grimstroke Lich Faceless Void Sniper', 'Leshrac Lifestealer Chen Sand King Earth Spirit', 'Shadow Demon Alchemist Jakiro Kunkka Sand King', 'Ancient Apparition Alchemist Earth Spirit Kunkka Queen of Pain', 'Ogre Magi Mirana Warlock Sven Meepo', 'Ogre Magi Magnus Lion Troll Warlord Kunkka', 'Jakiro Earthshaker Timbersaw Lifestealer Lina', 'Ancient Apparition Sand King Ember Spirit Pangolier Medusa', 'Ogre Magi Mirana Gyrocopter Sand King Invoker', 'Ogre Magi Mirana Alchemist Omniknight Timbersaw', 'Enchantress Crystal Maiden Ember Spirit Magnus Juggernaut', 'Crystal Maiden Pudge Oracle Death Prophet Morphling', 'Mirana Ogre Magi Warlock Slark Shadow Fiend', 'Elder Titan Gyrocopter Ember Spirit Magnus Batrider', "Elder Titan Ember Spirit Pugna Nature's Prophet Drow Ranger", 'Kunkka Ancient Apparition Rubick Queen of Pain Phantom Assassin', 'Elder Titan Sand King Gyrocopter Rubick Death Prophet', 'Ancient Apparition Razor Earth Spirit Axe Bloodseeker', 'Ogre Magi Ember Spirit Tidehunter Witch Doctor Anti-Mage', 'Elder Titan Shadow Shaman Omniknight Faceless Void Sniper', 'Mirana Ogre Magi Lion Lone Druid Wraith King', 'Leshrac Abaddon Crystal Maiden Lifestealer Kunkka', 'Mirana Elder Titan Slark Sand King Batrider', 'Tidehunter Elder Titan Vengeful Spirit Leshrac Arc Warden', 'Elder Titan Shadow Demon Centaur Warrunner Slark Invoker', 'Dark Willow Ancient Apparition Sand King Broodmother Faceless Void', 'Beastmaster Elder Titan Shadow Shaman Leshrac Templar Assassin', 'Chen Grimstroke Tiny Outworld Devourer Broodmother', 'Ogre Magi Gyrocopter Crystal Maiden Invoker Sven', 'Rubick Centaur Warrunner Warlock Ember Spirit Terrorblade', 'Alchemist Oracle Tiny Ember Spirit Batrider', 'Sven Ancient Apparition Treant Protector Timbersaw Death Prophet', 'Visage Sven Crystal Maiden Sand King Ember Spirit', 'Ogre Magi Gyrocopter Shadow Shaman Tidehunter Lina', 'Enchantress Alchemist Earth Spirit Dazzle Warlock', 'Omniknight Slark Lich Death Prophet Shadow Shaman', 'Magnus Juggernaut Grimstroke Pugna Earthshaker', 'Alchemist Oracle Elder Titan Sand King Broodmother', 'Shadow Demon Leshrac Sand King Naga Siren Shadow Fiend', 'Chen Alchemist Grimstroke Ember Spirit Sand King', 'Ogre Magi Enchantress Earthshaker Morphling Razor', 'Elder Titan Grimstroke Gyrocopter Earthshaker Arc Warden', 'Shadow Demon Abaddon Rubick Naga Siren Tiny', 'Disruptor Beastmaster Tiny Weaver Invoker', 'Mirana Chen Earthshaker Ember Spirit Bristleback', 'Mars Phoenix Bane Phantom Assassin Dragon Knight', 'Omniknight Tusk Puck Bloodseeker Meepo', 'Elder Titan Enchantress Shadow Shaman Pudge Arc Warden', 'Alchemist Chen Lina Ember Spirit Centaur Warrunner', 'Elder Titan Tidehunter Lina Gyrocopter Storm Spirit', 'Shadow Demon Sand King Silencer Spectre Dragon Knight', 'Ogre Magi Shadow Shaman Centaur Warrunner Gyrocopter Storm Spirit', 'Magnus Invoker Oracle Slark Tiny', 'Io Luna Bane Axe Invoker', 'Enchantress Alchemist Warlock Razor Earth Spirit', 'Io Gyrocopter Crystal Maiden Beastmaster Storm Spirit', 'Tiny Silencer Jakiro Queen of Pain Wraith King', 'Mirana Wraith King Grimstroke Enigma Tiny', 'Enchantress Warlock Tiny Morphling Puck', "Nature's Prophet Kunkka Mirana Storm Spirit Meepo", 'Crystal Maiden Naga Siren Dark Willow Ogre Magi Slark', 'Shadow Shaman Tiny Enchantress Naga Siren Zeus', 'Ancient Apparition Kunkka Grimstroke Alchemist Abaddon', 'Elder Titan Sand King Shadow Demon Templar Assassin Leshrac', 'Shadow Demon Lion Outworld Devourer Axe Faceless Void', 'Treant Protector Ancient Apparition Sven Legion Commander Viper', 'Mirana Oracle Wraith King Outworld Devourer Doom', 'Elder Titan Tidehunter Shadow Shaman Medusa Gyrocopter', 'Ancient Apparition Ember Spirit Shadow Shaman Ogre Magi Medusa', 'Warlock Shadow Demon Axe Bloodseeker Storm Spirit', 'Gyrocopter Centaur Warrunner Silencer Lina Necrophos', 'Elder Titan Mirana Omniknight Drow Ranger Templar Assassin', 'Crystal Maiden Magnus Juggernaut Dark Willow Dragon Knight', 'Alchemist Lina Bane Sand King Queen of Pain', 'Io Gyrocopter Shadow Demon Legion Commander Outworld Devourer', 'Kunkka Crystal Maiden Invoker Axe Gyrocopter', 'Grimstroke Dazzle Tiny Spectre Lycan', 'Kunkka Jakiro Elder Titan Broodmother Arc Warden', 'Beastmaster Zeus Alchemist Ogre Magi Viper', 'Ogre Magi Shadow Demon Naga Siren Jakiro Shadow Fiend', 'Ancient Apparition Ember Spirit Rubick Lifestealer Timbersaw']
Firstly we need to count comparative wins separately, then we will compare them as a team
heroes1new = []
heroes2new = []
for i in heroes1:
heroes1new.append(i.split(" "))
for i in heroes2:
heroes2new.append(i.split(" "))
#Herodict goes here
l = 0
hdict = {}
for i in heroes1new:
for j in i:
if j in hdict:
continue
else:
hdict[j] = l
l += 1
for i in heroes2new:
for j in i:
if j in hdict:
continue
else:
hdict[j] = l
l += 1
hdict
{'Io': 0,
'Tiny': 1,
'Abaddon': 2,
'Timbersaw': 3,
'Gyrocopter': 4,
'Rubick': 5,
'Tidehunter': 6,
'Ogre Magi': 7,
'Templar Assassin': 8,
'Juggernaut': 9,
'Shadow Shaman': 10,
'Lifestealer': 11,
'Enigma': 12,
'Chen': 13,
'Meepo': 14,
'Elder Titan': 15,
'Faceless Void': 16,
'Shadow Fiend': 17,
'Dark Seer': 18,
'Sven': 19,
'Mirana': 20,
'Tinker': 21,
'Shadow Demon': 22,
'Magnus': 23,
'Wraith King': 24,
'Bristleback': 25,
'Earth Spirit': 26,
'Leshrac': 27,
'Alchemist': 28,
'Legion Commander': 29,
'Sand King': 30,
'Jakiro': 31,
'Dragon Knight': 32,
'Pangolier': 33,
"Nature's Prophet": 34,
'Zeus': 35,
'Omniknight': 36,
'Windranger': 37,
'Crystal Maiden': 38,
'Lion': 39,
'Medusa': 40,
'Ember Spirit': 41,
'Witch Doctor': 42,
'Silencer': 43,
'Phantom Lancer': 44,
'Riki': 45,
'Ancient Apparition': 46,
'Arc Warden': 47,
'Centaur Warrunner': 48,
'Enchantress': 49,
'Invoker': 50,
'Earthshaker': 51,
'Oracle': 52,
'Terrorblade': 53,
'Lina': 54,
'Necrophos': 55,
'Warlock': 56,
'Death Prophet': 57,
'Kunkka': 58,
'Nyx Assassin': 59,
'Brewmaster': 60,
'Axe': 61,
'Underlord': 62,
'Anti-Mage': 63,
'Batrider': 64,
'Slark': 65,
'Weaver': 66,
'Visage': 67,
'Beastmaster': 68,
'Grimstroke': 69,
'Sniper': 70,
'Phantom Assassin': 71,
'Broodmother': 72,
'Razor': 73,
'Queen of Pain': 74,
'Winter Wyvern': 75,
'Mars': 76,
'Pugna': 77,
'Monkey King': 78,
'Puck': 79,
'Lich': 80,
'Storm Spirit': 81,
'Morphling': 82,
'Techies': 83,
'Outworld Devourer': 84,
'Drow Ranger': 85,
'Skywrath Mage': 86,
'Dark Willow': 87,
'Naga Siren': 88,
'Undying': 89,
'Spectre': 90,
'Pudge': 91,
'Clinkz': 92,
'Bloodseeker': 93,
'Chaos Knight': 94,
'Viper': 95,
'Bane': 96,
'Slardar': 97,
'Huskar': 98,
'Troll Warlord': 99,
'Lone Druid': 100,
'Vengeful Spirit': 101,
'Treant Protector': 102,
'Dazzle': 103,
'Disruptor': 104,
'Phoenix': 105,
'Tusk': 106,
'Luna': 107,
'Doom': 108,
'Lycan': 109,
'Spirit Breaker': 110,
'Night Stalker': 111,
'Bounty Hunter': 112,
'Venomancer': 113,
' Ember Spirit': 114}
Now to try and break down all possible matchups (which is a fuckload)
Matchups1 = []
binWins2 = []
for i in heroes1new:
for j in i:
Matchups1.append(j)
Matchups1.append(j)
Matchups1.append(j)
Matchups1.append(j)
Matchups1.append(j)
Matchups2 = []
for i in heroes2new:
for j in range(5):
Matchups2.append(i[0])
Matchups2.append(i[1])
Matchups2.append(i[2])
Matchups2.append(i[3])
Matchups2.append(i[4])
for i in binWins:
for j in range(25):
binWins2.append(i)
d = {'Radiant':Matchups1, 'Dire':Matchups2, 'Winner':binWins2}
heroGames = pd.DataFrame(data = d)
"""Number of Heroes"""
k = len(hdict.keys())
""" Number of Comparisons """
N = len(binWins2)
""" Design Matrix """
X = np.zeros((N,k))
gameNumber = 0
for index, row in heroGames.iterrows():
X[gameNumber][hdict[row['Radiant']]] = 1
X[gameNumber][hdict[row['Dire']]] = -1
gameNumber+= 1
test3 = designMatrix(heroGames, hdict)
X = np.matrix(X)
Xt = np.matrix.transpose(X)
XXt = np.dot(X,Xt)
Y = np.matrix(binWins2)
Y = np.matrix.transpose(Y)
rankings = np.matrix(np.random.rand(k,1))
tol = 1.
ranks = np.asarray(rankings)
ranks = np.ndarray.tolist(ranks)
heroes = []
for i in hdict.keys():
heroes.append(i)
data = {"Heroes":heroes, "Ranks":ranks}
data
Heroskills = pd.DataFrame(data)
Heroskills
test4 = BTfit(test3, binWins2, heroes,1)
Lets do some data fixing now on rankings and our two data frames
Heroskills = Heroskills.sort_values(by=['Ranks'], inplace=True, ascending=False)
heroes = []
for i in hdict.keys():
heroes.append(i)
How do we interpret the 2 ratings, for teams it is clear, but for heroes i imagine we can add up the skills of both teams and treat them as a single team, to test
for treating heroes as players in a team we refer back to Haziq
We shall first implement this for team OG, haziq does this for liverpool and we will implement this in a similar way, what is worth noting for the final potential model is that in the EPL model there are no shared players while in ours "players" will predominantly be shared
From Huang et al. 2006
""" Consider k individuals """
k = len(hdict.keys())
k
115
for i in heroes1new:
i.sort()
I = []
for i in heroes1new:
l = 0
for j in heroes1new:
if l == 0:
continue
elif i == j:
print(True)
l+=1
for j in heroes2new:
if i ==j:
print(True)
ri = binWins
herodf = pd.DataFrame(data = {"Radiant": heroes1new, "Dire": heroes2new, "Winner":binWins})
q = np.zeros(len(hdict.keys()))
qplus = np.zeros(len(hdict.keys()))
qminus = np.zeros(len(hdict.keys()))
game = 0
for hero in hdict.keys():
for i in range(len(binWins)):
if hero in herodf["Radiant"][i]:
if herodf["Winner"][i] == 1:
q[hdict[hero]] += 1
qplus[hdict[hero]] += 1
elif hero in herodf["Dire"][i]:
if herodf["Winner"][i] == 0:
q[hdict[hero]] += 1
qminus[hdict[hero]] += 1
else:
continue
qminus
array([ 9., 15., 4., 2., 15., 12., 16., 13., 6., 2., 4., 13., 6.,
8., 1., 27., 9., 2., 2., 10., 14., 1., 25., 5., 7., 4.,
4., 13., 7., 3., 13., 4., 4., 4., 1., 0., 5., 7., 10.,
7., 3., 9., 4., 0., 1., 0., 7., 2., 10., 11., 7., 11.,
3., 1., 7., 1., 5., 2., 14., 4., 0., 4., 0., 0., 4.,
8., 2., 2., 5., 8., 1., 4., 2., 3., 2., 2., 1., 1.,
4., 1., 1., 8., 2., 0., 3., 0., 2., 4., 4., 0., 4.,
0., 0., 0., 0., 1., 1., 2., 0., 3., 0., 0., 6., 0.,
0., 1., 5., 0., 1., 0., 1., 1., 0., 0., 0.])
k = len(hdict.keys())
m = len(binWins)
Ip = np.zeros((m,k))
I = np.zeros((m,k))
l = 0
r = binWins
for i in heroes1new:
for j in i:
if binWins[l] == 1:
Ip[l,hdict[j]] = 1
I[l,hdict[j]] = 1
l+=1
l = 0
for i in heroes2new:
for j in i:
if binWins[l] == 0:
Ip[l,hdict[j]] = 1
I[l,hdict[j]] = 1
l += 1
po = np.ones(k)/k
maxiter = 1000;
delta = np.zeros(k)
def newI(team1,team2, k, m, index_dict):
I = np.zeros((m,k))
l = 0
for i in team1:
for j in i:
I[l,index_dict[j]] = 1
l += 1
l = 0
for i in team2:
for j in i:
I[l,index_dict[j]] = 1
l += 1
return(I)
def newIp(team1, k, m, index_dict):
Ip =np.zeros((m,k))
l = 0
for i in team1:
for j in i:
Ip[l,index_dict[j]] = 1
l+=1
return(Ip)
def BTfit2(I,Ip,r,k,maxiter,playerlist):
po = np.random.rand(k)
delta = np.zeros(k)
for t in range(maxiter):
for i in range(k):
pp = np.tile(np.transpose(po), (r.size,1))
qp = np.sum(np.multiply(pp,Ip),axis=1)
Ipp = Ip[:,i]
q = np.sum(np.multiply(pp,I),axis=1)
Ii = I[:,i]
Ipp = Ipp.astype(int)
Ii = Ii.astype(int)
delta[i] = np.sum(np.divide(r[Ipp],qp[Ipp]))/np.sum(np.divide(r[Ii],q[Ii]))
if np.isnan(delta[i]):
print(po)
print(delta)
print(qp[Ipp])
print(q[Ii])
break
po[i] = delta[i]*po[i]
po = po/np.sum(po)
if np.max(np.abs(delta-1)) < 0.001:
separate = t*k
break
pest = po
data = {"Heroes":playerlist, "Ranks":pest}
Heroskills2 = pd.DataFrame(data)
return(Heroskills2)
for t in range(maxiter):
for i in range(k):
pp = np.tile(np.transpose(po), (binWins.size,1))
qp = np.sum(np.multiply(pp,Ip),axis=1)
Ipp = Ip[:,i]
q = np.sum(np.multiply(pp,I),axis=1)
Ii = I[:,i]
Ipp = Ipp.astype(int)
Ii = Ii.astype(int)
delta[i] = np.sum(np.divide(r[Ipp],qp[Ipp]))/np.sum(np.divide(r[Ii],q[Ii]))
if np.isnan(delta[i]):
print(po)
print(delta)
print(qp[Ipp])
print(q[Ii])
break
po[i] = delta[i]*po[i]
po = po/np.sum(po)
if np.max(np.abs(delta-1)) < 0.001:
separate = t*k
break
pest = po
test5 = BTfit2(I,Ip,binWins,k,10,heroes)
test5
| Heroes | Ranks | |
|---|---|---|
| 0 | Io | 0.002418 |
| 1 | Tiny | 0.020281 |
| 2 | Abaddon | 0.017755 |
| 3 | Timbersaw | 0.005078 |
| 4 | Gyrocopter | 0.012731 |
| ... | ... | ... |
| 110 | Spirit Breaker | 0.002767 |
| 111 | Night Stalker | 0.003425 |
| 112 | Bounty Hunter | 0.012304 |
| 113 | Venomancer | 0.001251 |
| 114 | Ember Spirit | 0.006656 |
115 rows × 2 columns
Start with initial p_j^0 > 0, j = 1,...,k and obtain corresponding qi's values for i = 1,...,m k = no.heros m = no.games
pest/np.min(pest)
array([4.15664897e+09, 1.41287231e+33, 5.33880590e+11, 3.99665343e+11,
4.88251635e+30, 1.96090336e+22, 1.65747722e+20, 2.96461388e+51,
1.19650899e+07, 2.54963297e+16, 5.26780997e+11, 2.95649552e+51,
1.63430311e+19, 9.51048945e+11, 2.01538297e+02, 2.54002755e+41,
1.25849115e+12, 1.74403607e+09, 1.96198420e+02, 1.06117961e+22,
1.80841981e+25, 3.71407042e+04, 2.30092479e+58, 1.23375512e+19,
1.14492409e+07, 9.61707643e+06, 5.84230717e+11, 3.88779057e+43,
7.62887277e+11, 8.28408963e+13, 8.88777828e+24, 3.56096971e+16,
4.22955878e+04, 2.88548941e+16, 7.18560061e+06, 3.19806179e+04,
1.39308225e+14, 1.28617477e+07, 1.12159925e+22, 3.28002371e+09,
4.38726091e+04, 8.39145507e+21, 2.30155883e+09, 6.46071095e+13,
1.46344116e+09, 1.89703843e+02, 4.79795770e+21, 2.05132107e+02,
3.65391315e+24, 5.50679359e+14, 9.58072809e+11, 1.75960621e+27,
2.00996632e+09, 7.73804043e+06, 1.40214435e+24, 7.73804043e+06,
6.07199719e+11, 1.05639772e+14, 1.85756654e+25, 5.20814391e+11,
1.89576673e+02, 1.24734413e+14, 1.27079850e+09, 1.41889840e+09,
4.49586776e+04, 2.54247088e+14, 1.58196182e+09, 1.93732098e+02,
3.77169633e+16, 2.57805958e+24, 6.97756713e+06, 2.20955973e+09,
8.71078784e+13, 2.47614769e+16, 8.69237191e+13, 1.00776752e+00,
1.75394953e+09, 3.75208493e+04, 4.19669321e+04, 1.91635463e+02,
1.39987425e+09, 2.03172433e+19, 8.67935653e+13, 3.36241524e+04,
6.10856064e+18, 1.86453715e+02, 1.91466753e+02, 1.55462679e+21,
4.42902612e+11, 1.81303998e+02, 9.73751048e+06, 1.39864184e+09,
1.00537267e+00, 3.54517727e+04, 1.80982140e+02, 1.91126853e+02,
1.56068813e+09, 3.95062390e+04, 3.34854206e+04, 3.82636634e+11,
5.20734641e+13, 2.51404902e+11, 4.96632579e+04, 6.92370456e+06,
1.24704384e+09, 2.88402521e+11, 2.18979339e+09, 1.80491681e+02,
1.90608902e+02, 1.80335116e+02, 1.85294042e+02, 1.00000000e+00,
3.34150227e+04, 3.34150227e+04, 1.80335116e+02])
data = {"Heroes":heroes, "Ranks":pest}
data
Heroskills2 =test5
Heroskills2
| Heroes | Ranks | |
|---|---|---|
| 0 | Io | 0.002418 |
| 1 | Tiny | 0.020281 |
| 2 | Abaddon | 0.017755 |
| 3 | Timbersaw | 0.005078 |
| 4 | Gyrocopter | 0.012731 |
| ... | ... | ... |
| 110 | Spirit Breaker | 0.002767 |
| 111 | Night Stalker | 0.003425 |
| 112 | Bounty Hunter | 0.012304 |
| 113 | Venomancer | 0.001251 |
| 114 | Ember Spirit | 0.006656 |
115 rows × 2 columns
Compare these results to overall pick rate, and how it changes over time as the model begins to converge
Cool, so we've implemented two models for hero weighting, likely should implement the combined model now, additionally should place these into functions so that we can develop train/test data for analytics
Combined Model: The idea behind the comparative model is to treat the heroes picked in the game as a homeground advantage by seeing which composition has the highest win-probability according to previous model (sum of player skills is the teams skill independent of which team is playing) additionally there is likely ways to treat it as a second logistic parameter but ya boi dumb so...
Imma do this with directly optimizing the log likelihood cause i a lazy bitch
"aij be the number of times i beats j at home"
k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 0
for i in games["Radiant"]:
j = games["Dire"][l]
if games["Winner"][l] == 1:
aij[index_dict[i]][index_dict[j]]+=1
else:
bij[index_dict[i]][index_dict[j]]+=1
l+=1
nij = aij + bij
c = sum(binWins)
def BTloglik(li):
lilj = np.zeros(len(li[:-1]))
for i in range(len(li[:-1])):
for j in range(len(li[:-1])):
if i != j:
lilj[i] += (li[-1]*li[i]+li[j])
print(lilj)
ll = c*np.log(li[-1]) + np.sum(np.multiply(wincounts,np.log(li[:-1])))-np.sum(np.dot(nij,np.log(lilj)))
return(-ll)
x0 = np.random.rand(k+1)
len(x0[:-1])
wincounts
#np.multiply(Wi,x0[:-2])
BTloglik(x0)
[15.85489353 10.15723329 22.41986365 8.67028963 15.42633714 12.1498202 9.97137298 22.94168417 14.28351803 13.42527125 10.00287502 19.95400155 10.16363691 10.26970664 10.16913007 18.34914394 16.87996086 10.5786385 ]
726.7459429511451
from scipy.optimize import minimize
np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')
[25.15272366 15.34087505 13.22156716 13.55183063 19.36246664 19.80758143 25.71109849 20.72969973 22.26137238 20.73598411 22.24230313 25.65977395 10.41307894 11.9819762 15.0581256 20.78144511 23.23586702 24.2336808 ] [25.94289734 15.38735586 13.26804797 13.59831144 19.40894745 19.85406223 25.7575793 20.77618053 22.30785318 20.78246492 22.28878393 25.70625476 10.45955975 12.02845701 15.1046064 20.82792591 23.28234782 24.2801616 ] [25.16854244 15.60979427 13.23738594 13.56764941 19.37828542 19.8234002 25.72691727 20.74551851 22.27719116 20.75180289 22.2581219 25.67559273 10.42889772 11.99779498 15.07394438 20.79726388 23.2516858 24.24949958] [25.1619196 15.35007099 13.37789815 13.56102658 19.37166258 19.81677737 25.72029443 20.73889567 22.27056832 20.74518005 22.25149907 25.6689699 10.42227489 11.99117215 15.06732154 20.79064105 23.24506296 24.24287674] [25.16295168 15.35110307 13.23179518 13.72570687 19.37269466 19.81780944 25.72132651 20.73992774 22.27160039 20.74621213 22.25253114 25.67000197 10.42330696 11.99220422 15.06835361 20.79167312 23.24609503 24.24390881] [25.18110991 15.3692613 13.24995342 13.58021689 19.84503292 19.83596768 25.73948475 20.75808598 22.28975863 20.76437036 22.27068938 25.68816021 10.4414652 12.01036246 15.08651185 20.80983136 23.26425327 24.26206705] [25.1825009 15.37065229 13.2513444 13.58160787 19.39224388 20.31379442 25.74087573 20.75947696 22.29114961 20.76576135 22.27208036 25.68955119 10.44285618 12.01175344 15.08790283 20.81122234 23.26564425 24.26345803] [25.20094939 15.38910078 13.26979289 13.60005636 19.41069237 19.85580715 26.53093584 20.77792545 22.3095981 20.78420984 22.29052885 25.70799968 10.46130467 12.03020193 15.10635132 20.82967083 23.28409274 24.28190652] [25.18538252 15.37353391 13.25422602 13.58448949 19.3951255 19.84024028 25.74375735 21.28490026 22.29403123 20.76864297 22.27496198 25.69243281 10.4457378 12.01463506 15.09078445 20.81410396 23.26852587 24.26633965] [25.19016899 15.37832038 13.2590125 13.58927597 19.39991197 19.84502676 25.74854383 20.76714506 22.89794302 20.77342944 22.27974846 25.69721929 10.45052428 12.01942154 15.09557093 20.81889044 23.27331235 24.27112613] [25.18540216 15.37355354 13.25424566 13.58450913 19.39514514 19.84025992 25.74377699 20.76237822 22.29405087 21.2915185 22.27498162 25.69245245 10.44575744 12.0146547 15.09080409 20.8141236 23.26854551 24.26635929] [25.1901094 15.37826079 13.25895291 13.58921638 19.39985238 19.84496717 25.74848423 20.76708547 22.29875812 20.77336985 22.87786071 25.6971597 10.45046469 12.01936195 15.09551134 20.81883085 23.27325276 24.27106654] [25.200789 15.38894039 13.2696325 13.59989597 19.41053198 19.85564676 25.75916383 20.77776506 22.30943772 20.78404945 22.29036846 26.47688468 10.46114428 12.03004154 15.10619093 20.82951044 23.28393236 24.28174613] [25.15314308 15.34129447 13.22198658 13.55225005 19.36288606 19.80800084 25.71151791 20.73011914 22.26179179 20.73640353 22.24272254 25.66019337 10.420209 11.98239562 15.05854501 20.78186452 23.23628643 24.23410021] [25.15804588 15.34619727 13.22688938 13.55715285 19.36778886 19.81290364 25.71642071 20.73502195 22.2666946 20.74130633 22.24762534 25.66509617 10.41840116 12.07245393 15.06344782 20.78676733 23.24118924 24.23900302] [25.16765885 15.35581024 13.23650235 13.56676582 19.37740183 19.82251661 25.72603368 20.74463491 22.27630756 20.7509193 22.25723831 25.67470914 10.42801413 11.99691139 15.31202375 20.79638029 23.2508022 24.24861598] [25.18554422 15.37369561 13.25438772 13.58465119 19.3952872 19.84040198 25.74391905 20.76252029 22.29419294 20.76880467 22.27512369 25.69259451 10.4458995 12.01479676 15.09094616 21.33939461 23.26868758 24.26650136] [25.19321429 15.38136568 13.26205779 13.59232126 19.40295727 19.84807205 25.75158912 20.77019036 22.30186301 20.77647474 22.28279375 25.70026458 10.45356957 12.02246683 15.09861623 20.82193573 23.92420769 24.27417142] [25.19633246 15.38448385 13.26517596 13.59543943 19.40607544 19.85119022 25.75470729 20.77330852 22.30498117 20.77959291 22.28591192 25.70338275 10.45668774 12.025585 15.10173439 20.8250539 23.27947581 24.97503032] [25.94289734 15.60979427 13.37789815 13.72570687 19.84503292 20.31379442 26.53093584 21.28490026 22.89794302 21.2915185 22.87786071 26.47688468 10.420209 12.07245393 15.31202375 21.33939461 23.92420769 24.97503032] [25.32052117 15.40187358 13.25949767 13.59335596 19.46723897 19.91719869 25.88497374 20.84935397 22.39769841 20.85570675 22.37842159 25.83309055 10.42043991 12.00641414 15.11604648 20.90166258 23.38280012 23.61597512] [25.34556844 15.41564525 13.27083387 13.60507169 19.48563218 19.93610342 25.91066268 20.86931838 22.41942299 20.87567839 22.40012426 25.85872051 10.42854865 12.01632583 15.12949322 20.33769343 23.40564458 24.25988625] [25.42598163 15.43675657 13.2791363 13.6153702 19.53104961 19.98421108 25.99445064 20.92299924 22.48236113 20.92939723 22.46294715 25.94219827 10.41987684 12.01713628 15.14889563 19.83200128 23.47447247 24.25623823] [25.36245575 15.4138247 13.26497253 13.59984005 19.49147944 19.94279936 25.92861462 20.87777249 22.43079748 20.88414448 22.41146239 25.87657459 10.41733248 12.00810101 15.12713357 20.75443187 22.69770782 24.25028132] [25.37180474 15.40872051 13.25674653 13.59210054 19.49229919 19.94427478 25.07920632 20.88060621 22.43588741 20.88698746 22.41652423 25.88667048 10.40496948 11.99804905 15.12161288 20.73869044 23.28069899 24.23914644] [25.40187245 15.42280147 13.26737443 13.60326654 19.51293265 19.96563348 25.7972744 20.90346735 22.46124415 20.90985884 21.77493253 25.91756435 10.41102142 12.00665724 15.13523314 20.740989 23.29227944 24.24653991] [25.41248402 15.41572856 13.25648177 13.59296914 19.51310809 19.96661118 25.79056168 20.90610704 22.46664446 20.91250986 22.31337609 25.07087883 10.39506685 11.99353039 15.12765062 20.72086236 23.28242553 24.23204873] [25.45194799 15.43562834 13.27215578 13.60930168 19.54102667 19.99541729 25.81084025 20.35303751 22.50034327 20.94316714 22.33279945 25.79731908 10.40514092 12.00673274 15.14698662 20.72629635 23.29923043 24.24371655] [25.48337824 15.44541277 13.27726483 13.61513931 19.55968309 19.48225281 25.82101975 20.84125882 22.52539494 20.96485366 22.34203993 25.81152503 10.40405419 12.00910714 15.15614727 20.72004589 23.30556841 24.24436243] [25.50680121 15.44488426 13.27156293 13.61024361 19.5689716 19.91847191 25.82089908 20.8413926 21.87092929 20.97749503 22.34088897 25.81586511 10.39149656 12.0003793 15.15492856 20.70173794 23.30119914 24.23368446] [25.54567676 15.45725395 13.27820748 13.61778035 19.59220527 19.93148893 25.83368434 20.85447726 22.43814 20.41821247 22.35254473 25.83359342 10.39055422 12.00367521 15.16653442 20.69438743 23.30928527 24.23477651] [25.72799728 15.49984716 13.29062033 13.63489637 19.69206864 19.97724 25.87785289 20.90053086 22.51050745 19.97118964 22.39094285 25.90393289 10.36297232 11.99843545 15.20510109 20.63225701 23.32872637 24.21713188] [25.63921276 15.50676926 13.31821456 13.65926914 19.65976338 19.98204514 25.88380718 20.90513854 22.49708795 20.90145501 22.4008164 25.89194086 10.41796106 12.03812088 15.21478118 20.71104857 23.35160979 24.26545633] [24.8023571 15.47301282 13.27710428 13.61930485 19.63996155 19.94906462 25.85045024 20.87223311 22.47059375 20.86748109 22.36604874 25.86495791 10.36710555 11.99270932 15.18004362 20.65179437 23.31222655 24.21704217] [25.55310186 15.51708433 13.31303353 13.65650295 19.69948379 19.99396578 25.89489286 20.91721116 22.52267259 20.91127389 22.40895067 25.91647103 10.39224474 12.02387613 14.9535246 20.66754563 23.35000192 24.24479338] [25.57909435 15.51942419 13.30635653 13.65123111 19.20562859 19.99718848 25.89755686 20.92051138 22.53383899 20.9132589 22.40993442 25.92698098 10.37361869 12.01192514 15.17001605 20.63841496 23.34528876 24.22894884] [24.77070189 15.26268985 13.16699273 13.49357681 19.14223032 19.48480536 25.04650211 20.35530364 21.88442115 20.34709028 21.75695947 25.08245149 10.3897933 11.9412118 14.92653867 20.05543031 22.63275653 23.45413386] [25.5228603 15.52400022 13.31547735 13.65964368 19.60188786 19.95235489 25.78362728 20.86524732 22.47825654 20.85503175 22.33218954 25.83088694 10.38876222 11.92810097 15.16363692 20.51127244 23.2435998 24.09132188] [25.56697974 15.5483759 13.33036121 13.6760067 19.63217659 19.97249709 25.79586621 20.88437547 22.5060497 20.87239307 22.34638571 25.85368266 10.38352132 12.01383639 15.1797106 20.486959 23.24897156 24.08059504] [25.77625296 15.65381207 13.38565041 13.73911058 19.76861614 20.05509362 25.83603748 20.96151404 22.62900236 20.94016219 22.39723913 25.94983799 10.36504309 12.02994784 15.24114844 20.33373493 23.25294478 23.99911477] [25.61587607 15.27912722 13.33072125 13.67882563 19.65811319 19.98153477 25.79167578 20.89171392 22.52779718 20.87678975 22.34549478 25.8670696 10.36824211 12.0018757 15.18203009 20.42196776 23.23337656 24.03818458] [25.49314086 15.47839906 13.31548881 13.66142861 19.58798255 19.89378643 25.62364873 20.7916931 22.41992337 20.77455424 22.22138484 25.71244045 10.37118723 11.99251915 15.14624125 20.26872396 23.08668088 24.72615059] [25.68802261 15.54385 13.35300844 13.51919741 19.70703035 20.00189517 25.7761582 20.90706687 22.56284632 20.88734487 22.34378642 25.88025302 10.36285998 12.00715063 15.20303155 20.31960624 23.20534442 24.13902966] [25.74508085 15.56565365 13.20039298 13.68356733 19.74386433 20.02248576 25.78243126 20.92577104 22.59484923 20.90324193 22.35420661 25.90330285 10.35764481 12.00997451 15.21858575 20.26932114 23.20145603 24.12815805] [25.58181783 15.51650251 13.30946685 13.65262928 19.64853605 19.90372335 25.5586559 20.7909639 22.45020526 20.76546623 22.18777017 25.69747979 10.35627458 11.99281573 15.16736783 20.26005349 23.81296219 24.11143228] [25.59447145 15.53296185 13.32325544 13.6667523 19.66412955 19.89781238 26.47064391 20.77847885 22.44644583 20.7495957 22.15829687 25.66709995 10.3635112 12.0023154 15.17767991 20.22520764 23.27805144 24.10908767] [25.5845447 15.5304726 13.31851416 13.66227163 19.65935858 19.86913836 25.81411982 20.74223847 22.41934007 20.70961325 22.8494284 25.60946628 10.35245729 11.99324454 15.16849285 20.16846964 23.26497571 24.08722512] [25.67634677 15.58528905 13.34479052 13.6925144 19.733418 19.81935873 25.82137414 20.65935724 22.3970698 20.60684983 23.39611699 25.45112716 10.32318547 11.98678314 15.18542763 19.87603079 23.25004262 24.00490648] [25.60152935 15.55534788 13.33867813 13.68301958 19.68227454 19.85251299 25.8241223 20.71345292 22.40644165 20.67460851 22.41729686 26.50825681 10.36084389 12.00564412 15.1821025 20.09974969 23.27147753 24.07791771] [25.57762389 15.54801451 13.32999037 13.67442737 19.66912912 19.80848238 25.80527504 21.31214881 22.36265034 20.61544961 22.40679771 25.84750559 10.34610549 11.99231229 15.16640814 20.02836345 23.25179396 24.04887901] [25.55591733 15.54897056 13.33039788 13.67479293 19.66187808 20.3624355 25.79350012 20.86763641 22.32029398 20.55681889 22.40440762 25.83710269 10.34109063 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c:\users\rowan\appdata\local\programs\python\python37\lib\site-packages\ipykernel_launcher.py:23: RuntimeWarning: invalid value encountered in log
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5.70247134 4.81838227] [9.7615442 9.08236675 7.47337445 8.29179598 8.22643571 6.61581874 6.88454759 5.81184265 7.23747737 6.45518611 5.39469622 6.34110812 4.1018223 7.35367509 9.03870277 4.58465003 5.69857519 4.77718055] [9.74986235 9.04134959 7.44896101 8.30632829 8.15234107 6.63655969 6.93994285 5.84515261 7.27925654 6.39435862 5.36758447 6.35844692 4.1039723 7.3356383 8.99701833 4.56806487 5.68884135 4.7574638 ] [9.70041298 8.97770483 7.42214394 8.2995807 8.18028768 6.63874036 6.94882717 5.89394864 7.25594958 6.48138416 5.37175914 6.29140435 4.1089669 7.36285278 8.96549609 4.5658834 5.73545878 4.79275589] [9.72469104 8.98488643 7.36360266 8.26068276 8.21730664 6.60060331 6.92307153 5.80107173 7.23254673 6.36641253 5.37705743 6.31764137 4.0931848 7.37411973 8.93506301 4.53176638 5.67542994 4.7348665 ] [9.82656675 9.06124839 7.45777474 8.27956075 8.23764924 6.6328454 6.9177944 5.83753164 7.28764208 6.44368594 5.39708594 6.33262524 4.11221502 7.34828289 8.99330176 4.58726096 5.68779413 4.78331564] [9.90070812 9.10841722 7.49241383 8.27897194 8.28653355 6.65532954 6.91865182 5.8370155 7.3334519 6.45642138 5.41158514 6.35541334 4.12162067 7.34261948 8.99811956 4.60993614 5.68731837 4.79166661] [9.77253736 9.02794018 7.45502485 8.29144505 8.19333278 6.5572447 6.97498948 5.83563662 7.27645681 6.46221609 5.38054561 6.32319628 4.108216 7.35037196 9.01628829 4.60173648 5.66158858 4.79013828] [9.82140109 9.06180693 7.43400047 8.26074697 8.20383865 6.57037033 6.89325371 5.77544739 7.23757336 6.38247472 5.39560259 6.3351896 4.09798361 7.34275186 9.02000196 4.57282563 5.63047027 4.7590769 ] [9.73057369 8.99867079 7.42510043 8.28990766 8.18616107 6.62170104 6.9349779 5.86441366 7.25137124 6.45673361 5.37769601 6.30231398 4.1062204 7.35784498 8.97908636 4.56760563 5.70929077 4.7843557 ] [9.79750695 9.05591333 7.49898945 8.30281596 8.16350608 6.61087245 6.92038299 5.87523348 7.26299989 6.50715585 5.39030728 6.30724176 4.11513619 7.32982204 9.05496693 4.61067673 5.69427729 4.8222256 ] [9.74289582 9.00264393 7.39745119 8.27121635 8.20385521 6.60317036 6.92239894 5.81961299 7.24016012 6.40160028 5.3803697 6.31504089 4.0986726 7.36304417 8.96504057 4.55149486 5.68014168 4.75670731] [9.82806119 9.02080539 7.44201559 8.30561099 8.17582312 6.54332664 6.91530746 5.8707894 7.24515144 6.44110939 5.35278033 6.33686062 4.10062384 7.36853855 9.01987945 4.56275977 5.71408454 4.77260268] [9.69726823 8.97113971 7.37295789 8.24844012 8.15369766 6.61567814 6.90302156 5.80387088 7.24949295 6.44931433 5.36878804 6.28298468 4.10018622 7.33636788 8.97429932 4.56923694 5.63076472 4.76814165] [9.74623049 9.03574471 7.43751814 8.23991225 8.16044211 6.59375605 6.8807236 5.85990386 7.16064761 6.40627977 5.37026403 6.32276957 4.10250799 7.31408384 8.99115435 4.57969983 5.64366404 4.785348 ] [9.79379029 9.04515442 7.45609147 8.30847583 8.19231119 6.6261964 6.9655297 5.85249725 7.25391279 6.46094782 5.41179175 6.34056923 4.10952366 7.35889201 9.04072992 4.57522389 5.66107249 4.79569731] [9.82724557 9.07196954 7.48439609 8.33913542 8.20035799 6.65070028 7.01318769 5.86523066 7.26797114 6.48669042 5.44355663 6.36702233 4.11555969 7.36852236 9.08566503 4.57971322 5.64441811 4.81353754] [9.77419485 9.01258353 7.42653779 8.26616841 8.18609838 6.57704 6.92116326 5.82319489 7.20918877 6.45375516 5.37089216 6.34287623 4.10416015 7.3492658 8.98470395 4.56720396 5.68517089 4.77435847] [9.78568651 9.00580619 7.42392933 8.25358008 8.18751963 6.55241376 6.92181234 5.80686016 7.17943004 6.47005541 5.36057905 6.36882484 4.10451711 7.34885095 8.97188767 4.56366383 5.69320281 4.77013322] [9.73577027 9.04099895 7.44129988 8.25590722 8.23597173 6.601166 6.9170973 5.83579361 7.19844257 6.40719413 5.35980489 6.30528246 4.09864927 7.3431804 8.95584212 4.57778842 5.65049269 4.76163145] [9.77807438 8.99305665 7.42327856 8.29981857 8.1353172 6.58110202 6.96607058 5.85025333 7.2009512 6.44634084 5.39444764 6.32409316 4.10553635 7.35574796 9.00321205 4.57078731 5.7028526 4.77718546] [9.69001333 9.01555272 7.41567781 8.24819975 8.19359404 6.65909543 6.93454488 5.80543575 7.21469922 6.43093818 5.41016105 6.29641975 4.10676256 7.32886619 8.96533891 4.58046844 5.63765208 4.78143242] [9.73638536 9.00737414 7.39862104 8.25773558 8.17645146 6.65652769 6.87102385 5.83706891 7.17702394 6.40666627 5.38587538 6.30713517 4.0990154 7.3446908 8.96358424 4.53944148 5.68716939 4.76306794] [9.76144752 8.99615839 7.41168269 8.31128364 8.21109544 6.62687018 6.96440567 5.81009368 7.2949422 6.46274777 5.39790933 6.30572562 4.1043647 7.38442183 8.98550703 4.55701567 5.70999865 4.76535351] [9.75914609 8.98630501 7.39668962 8.24532861 8.22510754 6.58309778 6.90752184 5.82152201 7.17766485 6.48146619 5.40360421 6.26488383 4.10293309 7.36769452 8.97868289 4.56761774 5.66682485 4.79410575] [9.7451717 9.0052648 7.41887563 8.27074201 8.21532972 6.60185941 6.90585845 5.83098155 7.25561895 6.43691767 5.37351782 6.2763658 4.10153084 7.35656998 8.96249716 4.55642621 5.68748635 4.77845988] [9.73602515 8.99845471 7.41639689 8.26739374 8.2388357 6.59558622 6.88962841 5.82931601 7.28399173 6.43379165 5.36111398 6.24506458 4.09972492 7.36042557 8.93878428 4.54556293 5.69721762 4.78009145]
data = {"Teams":Teamlist, "Ranks":res.x[:-1]/np.min(res.x[:-1]),"Radiant Advantage":res.x[-1]}
data
Teamhg = pd.DataFrame(data)
Teamhg.sort_values(by=['Ranks'], inplace=True, ascending=False)
Teamhg
| Teams | Ranks | Radiant Advantage | |
|---|---|---|---|
| 0 | OG | 18.053787 | 0.915161 |
| 1 | Team Liquid | 15.822115 | 0.915161 |
| 14 | Natus Vincere | 15.641570 | 0.915161 |
| 3 | Team Secret | 13.610140 | 0.915161 |
| 4 | Vici Gaming | 13.523732 | 0.915161 |
| 2 | PSG.LGD | 11.035274 | 0.915161 |
| 13 | Mineski | 10.865921 | 0.915161 |
| 8 | Newbee | 10.634655 | 0.915161 |
| 6 | Royal Never Give Up | 9.441427 | 0.915161 |
| 5 | Evil Geniuses | 8.551742 | 0.915161 |
| 9 | TNC Predator | 8.062199 | 0.915161 |
| 11 | Fnatic | 7.491167 | 0.915161 |
| 7 | Infamous Gaming | 6.233234 | 0.915161 |
| 16 | KEEN GAMING | 5.833543 | 0.915161 |
| 10 | Virtus.pro | 4.816592 | 0.915161 |
| 17 | Ninjas in Pyjamas | 3.058589 | 0.915161 |
| 15 | Chaos Esports Club | 2.348975 | 0.915161 |
| 12 | Alliance | 1.000000 | 0.915161 |
np.sum(aij,axis=1)
array([ 8., 13., 3., 8., 7., 4., 5., 2., 7., 5., 2., 5., 4.,
5., 5., 1., 3., 2.])
Teamlist
['OG', 'Team Liquid', 'PSG.LGD', 'Team Secret', 'Vici Gaming', 'Evil Geniuses', 'Royal Never Give Up', 'Infamous Gaming', 'Newbee', 'TNC Predator', 'Virtus.pro', 'Fnatic', 'Alliance', 'Mineski', 'Natus Vincere', 'Chaos Esports Club', 'KEEN GAMING', 'Ninjas in Pyjamas']
np.sum(bij,axis=1)
array([1., 9., 3., 6., 5., 2., 8., 5., 7., 8., 7., 8., 3., 5., 5., 5., 8.,
9.])
Lets add some extra data to represent whether a team's composition has won
Teamskill1 = np.zeros(m)
Teamskill2 = np.zeros(m)
index = 0
for i in heroes1new:
for j in i:
Teamskill1[index] += test4["Ranks"][hdict[j]][0]
index += 1
index = 0
for i in heroes2new:
for j in i:
Teamskill2[index] += test4["Ranks"][hdict[j]][0]
index += 1
Teamwin1 = np.zeros(m)
for i in range(m):
prob = Teamskill1[i]/(Teamskill1[i]+Teamskill2[i])
if prob >= 0.5:
Teamwin1[i] = 1
Teamwin1
array([1., 1., 1., 1., 0., 1., 1., 0., 1., 1., 0., 0., 1., 0., 1., 1., 1.,
0., 1., 0., 0., 1., 1., 0., 1., 0., 1., 0., 1., 0., 0., 0., 0., 1.,
1., 0., 1., 0., 1., 0., 0., 0., 1., 0., 0., 0., 1., 0., 1., 1., 1.,
1., 0., 0., 0., 1., 1., 0., 0., 1., 0., 0., 0., 1., 0., 1., 1., 0.,
1., 0., 0., 0., 0., 0., 1., 0., 1., 0., 0., 1., 0., 0., 0., 1., 0.,
0., 0., 1., 1., 0., 1., 0., 1., 1., 1., 1., 1., 1., 1., 0., 1., 0.,
0., 1., 0., 0., 1., 1., 0., 1., 1., 1., 0., 1., 0., 1., 1., 0., 0.,
0., 0., 0., 0., 1., 1., 0., 0., 1., 1., 1., 0., 1., 0., 1., 0., 0.,
0., 1., 1., 0., 0., 1., 1., 1., 0., 0., 1., 0., 0., 1., 1., 1., 1.,
1., 1., 0., 1., 0., 0., 0., 1., 1., 0., 1., 1., 0., 0., 1., 0., 0.,
0., 1., 1., 0., 1., 1., 0., 1., 0., 1., 0., 0., 1., 0., 1., 0., 1.,
1., 0., 1., 0., 1., 1.])
games['Team Winner'] = Teamwin1
Teamskill3 = np.zeros(m)
Teamskill4 = np.zeros(m)
index = 0
m = len(games["Winner"])
for i in heroes1new:
for j in i:
Teamskill3[index] += Heroskills2["Ranks"][hdict[j]]
index += 1
index = 0
for i in heroes2new:
for j in i:
Teamskill4[index] += Heroskills2["Ranks"][hdict[j]]
index += 1
Teamskill3
array([0.05826342, 0.04932284, 0.03253164, 0.05574972, 0.04887126,
0.05352506, 0.04309852, 0.06411888, 0.03571842, 0.06776762,
0.05639122, 0.04201568, 0.06271853, 0.03704253, 0.07154188,
0.03481156, 0.04904427, 0.03908353, 0.05278815, 0.06011708,
0.04127911, 0.06949787, 0.03508317, 0.04226109, 0.05031455,
0.04408484, 0.03542285, 0.0371827 , 0.05242269, 0.0518443 ,
0.04519477, 0.03936148, 0.04551651, 0.03469151, 0.05307554,
0.03481139, 0.06333757, 0.08143103, 0.08286964, 0.06102032,
0.05395104, 0.04912828, 0.03968447, 0.05847694, 0.07712766,
0.06134621, 0.02937076, 0.05971084, 0.07129871, 0.04490069,
0.08045464, 0.06307551, 0.03238673, 0.03857766, 0.0312012 ,
0.06567071, 0.0638584 , 0.02446147, 0.04537502, 0.06099109,
0.05256598, 0.06051679, 0.05389125, 0.06251273, 0.0502998 ,
0.05499471, 0.0405897 , 0.02522729, 0.04869808, 0.03803977,
0.06148235, 0.05109231, 0.05530843, 0.05517525, 0.06220411,
0.07018249, 0.06487317, 0.05676701, 0.05150733, 0.05754166,
0.04156114, 0.06441124, 0.05556331, 0.04409628, 0.05283724,
0.08015128, 0.03165333, 0.05391064, 0.05679063, 0.07414443,
0.07022968, 0.047634 , 0.05579683, 0.05574757, 0.05076638,
0.02599678, 0.06578399, 0.04486522, 0.05850651, 0.03681003,
0.03898262, 0.04962654, 0.04899164, 0.03544223, 0.05621469,
0.05843056, 0.02483259, 0.06053603, 0.03801995, 0.04855884,
0.06057197, 0.0462941 , 0.05591669, 0.02530403, 0.06427495,
0.04149054, 0.03976753, 0.05835946, 0.0472503 , 0.04381477,
0.03704096, 0.03914057, 0.04723067, 0.05949627, 0.05380503,
0.05554192, 0.06263619, 0.04720207, 0.06131835, 0.02598198,
0.04925665, 0.0323648 , 0.05617469, 0.04814173, 0.03190695,
0.04959532, 0.06603025, 0.0303576 , 0.03939737, 0.07658066,
0.05740899, 0.08452256, 0.07871838, 0.04372445, 0.05636131,
0.04534546, 0.04835674, 0.05341237, 0.05624112, 0.05973107,
0.03706653, 0.08192623, 0.04688861, 0.07629529, 0.07026644,
0.05271251, 0.07765776, 0.02296126, 0.04194623, 0.04748022,
0.08033217, 0.05054205, 0.04815415, 0.05340665, 0.06779858,
0.03626689, 0.04004309, 0.04682359, 0.07004202, 0.06484296,
0.05339759, 0.04016331, 0.04709493, 0.04097786, 0.07580157,
0.036521 , 0.0454991 , 0.03447513, 0.04194053, 0.04487593,
0.04388608, 0.05283472, 0.06347853, 0.03495253, 0.03762723,
0.03340786, 0.03664749, 0.06036604, 0.05491658, 0.06291199,
0.05699323, 0.05375685, 0.0494316 ])
Teamwin2 = np.zeros(m)
for i in range(m):
if Teamskill3[i] > Teamskill4[i]:
Teamwin2[i] = 1
Teamwin2
array([1., 0., 0., 1., 1., 0., 0., 1., 0., 1., 0., 0., 0., 0., 1., 0., 1.,
0., 1., 1., 0., 1., 0., 0., 0., 0., 0., 0., 1., 1., 1., 0., 0., 0.,
1., 0., 1., 1., 1., 1., 1., 1., 0., 1., 1., 0., 1., 1., 1., 0., 1.,
1., 0., 0., 0., 1., 0., 0., 1., 1., 1., 0., 1., 1., 0., 0., 1., 0.,
1., 0., 1., 1., 0., 1., 1., 1., 1., 1., 0., 0., 0., 1., 1., 0., 1.,
1., 0., 1., 1., 1., 1., 1., 1., 0., 0., 0., 1., 0., 1., 0., 0., 0.,
0., 0., 1., 1., 0., 1., 0., 0., 1., 1., 1., 0., 1., 1., 0., 1., 0.,
0., 0., 0., 0., 1., 1., 1., 1., 1., 1., 0., 1., 0., 0., 1., 0., 1.,
1., 0., 0., 1., 1., 1., 1., 1., 1., 1., 1., 1., 0., 1., 0., 1., 0.,
1., 1., 1., 1., 0., 0., 0., 1., 1., 0., 0., 1., 0., 0., 0., 1., 1.,
1., 0., 1., 0., 1., 0., 0., 0., 0., 1., 0., 0., 1., 0., 0., 0., 0.,
1., 1., 0., 1., 0., 0.])
games['Team Winner 2'] = Teamwin2
k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 0
for i in games["Radiant"]:
j = games["Dire"][l]
if games["Team Winner"][l] == 1:
aij[index_dict[i]][index_dict[j]]+=1
else:
bij[index_dict[i]][index_dict[j]]+=1
l+=1
nij = aij + bij
c = sum(games["Team Winner"])
np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')
data = {"Teams":Teamlist, "Ranks":np.exp(res.x[:-1]),"Draft Advantage 1":np.exp(res.x[-1])}
Teamhg2 = pd.DataFrame(data)
Teamhg2.sort_values(by=['Ranks'], inplace=True, ascending=False)
Teamhg2
k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 0
for i in games["Radiant"]:
j = games["Dire"][l]
if games["Team Winner 2"][l] == 1:
aij[index_dict[i]][index_dict[j]]+=1
else:
bij[index_dict[i]][index_dict[j]]+=1
l+=1
nij = aij + bij
c = sum(games["Team Winner 2"])
np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')
data = {"Teams":Teamlist, "Ranks":np.exp(res.x[:-1]),"Draft Advantage 2":np.exp(res.x[-1])}
Teamhg3 = pd.DataFrame(data)
Teamhg3.sort_values(by=['Ranks'], inplace=True, ascending=False)
Teamhg3
[25.15272366 15.34087505 13.22156716 13.55183063 19.36246664 19.80758143 25.71109849 20.72969973 22.26137238 20.73598411 22.24230313 25.65977395 10.41307894 11.9819762 15.0581256 20.78144511 23.23586702 24.2336808 ] [25.94289734 15.38735586 13.26804797 13.59831144 19.40894745 19.85406223 25.7575793 20.77618053 22.30785318 20.78246492 22.28878393 25.70625476 10.45955975 12.02845701 15.1046064 20.82792591 23.28234782 24.2801616 ] [25.16854244 15.60979427 13.23738594 13.56764941 19.37828542 19.8234002 25.72691727 20.74551851 22.27719116 20.75180289 22.2581219 25.67559273 10.42889772 11.99779498 15.07394438 20.79726388 23.2516858 24.24949958] [25.1619196 15.35007099 13.37789815 13.56102658 19.37166258 19.81677737 25.72029443 20.73889567 22.27056832 20.74518005 22.25149907 25.6689699 10.42227489 11.99117215 15.06732154 20.79064105 23.24506296 24.24287674] [25.16295168 15.35110307 13.23179518 13.72570687 19.37269466 19.81780944 25.72132651 20.73992774 22.27160039 20.74621213 22.25253114 25.67000197 10.42330696 11.99220422 15.06835361 20.79167312 23.24609503 24.24390881] [25.18110991 15.3692613 13.24995342 13.58021689 19.84503292 19.83596768 25.73948475 20.75808598 22.28975863 20.76437036 22.27068938 25.68816021 10.4414652 12.01036246 15.08651185 20.80983136 23.26425327 24.26206705] [25.1825009 15.37065229 13.2513444 13.58160787 19.39224388 20.31379442 25.74087573 20.75947696 22.29114961 20.76576135 22.27208036 25.68955119 10.44285618 12.01175344 15.08790283 20.81122234 23.26564425 24.26345803] [25.20094939 15.38910078 13.26979289 13.60005636 19.41069237 19.85580715 26.53093584 20.77792545 22.3095981 20.78420984 22.29052885 25.70799968 10.46130467 12.03020193 15.10635132 20.82967083 23.28409274 24.28190652] [25.18538252 15.37353391 13.25422602 13.58448949 19.3951255 19.84024028 25.74375735 21.28490026 22.29403123 20.76864297 22.27496198 25.69243281 10.4457378 12.01463506 15.09078445 20.81410396 23.26852587 24.26633965] [25.19016899 15.37832038 13.2590125 13.58927597 19.39991197 19.84502676 25.74854383 20.76714506 22.89794302 20.77342944 22.27974846 25.69721929 10.45052428 12.01942154 15.09557093 20.81889044 23.27331235 24.27112613] [25.18540216 15.37355354 13.25424566 13.58450913 19.39514514 19.84025992 25.74377699 20.76237822 22.29405087 21.2915185 22.27498162 25.69245245 10.44575744 12.0146547 15.09080409 20.8141236 23.26854551 24.26635929] [25.1901094 15.37826079 13.25895291 13.58921638 19.39985238 19.84496717 25.74848423 20.76708547 22.29875812 20.77336985 22.87786071 25.6971597 10.45046469 12.01936195 15.09551134 20.81883085 23.27325276 24.27106654] [25.200789 15.38894039 13.2696325 13.59989597 19.41053198 19.85564676 25.75916383 20.77776506 22.30943772 20.78404945 22.29036846 26.47688468 10.46114428 12.03004154 15.10619093 20.82951044 23.28393236 24.28174613] [25.15314308 15.34129447 13.22198658 13.55225005 19.36288606 19.80800084 25.71151791 20.73011914 22.26179179 20.73640353 22.24272254 25.66019337 10.420209 11.98239562 15.05854501 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c:\users\rowan\appdata\local\programs\python\python37\lib\site-packages\ipykernel_launcher.py:23: RuntimeWarning: invalid value encountered in log
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7.72139108] [18.23489679 20.26539471 17.15832538 10.38066009 11.40671064 10.11680541 13.71243804 10.72930951 13.67461245 10.49184913 9.17432598 11.63073815 6.57776126 10.82332755 11.53045839 7.47713442 9.80524698 8.03588826] [18.51611666 20.3568712 17.29411222 10.43553098 11.70866798 10.16736812 13.78473494 11.16218895 13.50126628 10.46246738 9.16597561 11.76851766 6.5940297 10.88164965 11.552099 7.48406909 9.983665 8.20510416] [17.82970043 20.3427482 17.20822421 10.42629793 11.21632398 10.57071792 13.97959233 10.46867092 14.38198645 10.82145476 9.23579025 11.19597537 6.60915521 10.8305726 11.5745094 7.7123693 9.52552253 8.04006684] [18.57414812 20.21790306 17.03688198 10.39490449 11.37568633 10.33155511 13.74486938 10.71154185 13.4089898 10.58643186 9.3365843 11.91521484 6.60899587 10.82506442 11.52512988 7.4780816 10.26892794 7.77472369] [18.40099284 20.01170846 16.80712857 10.4027047 11.04106215 10.52807555 13.99634345 10.95553339 13.7514496 10.69534701 9.71727944 11.29361495 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8.56979126] [18.01810811 23.37478691 18.41858579 11.68551518 14.47900638 10.71710819 11.41089947 10.54045545 13.01679495 12.46868947 11.3858144 12.04669595 6.8294485 12.21908822 11.46372896 7.56370518 9.74744701 8.35909403] [17.76294291 23.05034559 18.18130596 11.65778617 14.26915131 10.86548662 11.6597044 10.45967238 12.91673354 12.67010342 11.61944755 12.15522763 6.85990975 12.16364024 11.52147696 7.64674091 9.54249178 8.56386623] [17.55441819 22.77238997 18.14455307 11.63212778 14.72496976 10.99735382 11.75862384 10.64957347 12.82930383 12.56735145 11.70304502 12.08725372 6.87608311 12.18224198 11.27051288 7.57295291 9.95600622 8.39107995] [18.06647389 22.60635512 18.02277664 11.62170264 14.64120684 10.90181044 11.31786943 10.62094086 12.84671672 12.37413541 11.44670706 12.0161648 6.88738336 12.16771927 11.12007904 7.51428583 9.92189141 8.55893912] [17.4957217 22.55414871 17.98855624 11.37332205 13.78157781 10.59751704 11.43968905 10.34046984 13.26406458 12.4726091 10.94475368 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8.40858321] [17.68983108 26.97774273 15.71662501 15.09680791 17.93179999 11.30489953 12.26726152 10.8399697 15.61090641 13.50141716 10.29490744 13.54408575 6.48260996 11.28611693 13.52864484 7.68318873 10.50497354 8.43032805] [18.12455252 27.17208369 15.76652426 15.22761093 18.06978481 11.37337276 12.39952309 11.00336436 15.79782316 13.66378298 10.46249587 13.81922502 6.51288473 11.31922037 13.60559283 7.76040768 10.68760803 8.45374489] [17.69905129 27.18344492 15.73883377 15.10710216 17.98966662 11.30281026 12.3901669 11.0339468 15.67000398 13.46356588 10.31821864 13.63486585 6.48332696 11.32643295 13.63068647 7.70017424 10.51212482 8.34717757] [17.98148768 27.16853527 15.76519761 15.1010617 17.90970534 11.29873898 12.47285852 10.98000148 15.79841561 13.5730859 10.41060133 13.85300809 6.5125841 11.28225867 13.67491516 7.75353362 10.54150528 8.46225692] [18.08584172 27.26605895 15.80505504 15.09167092 17.8402179 11.29749447 12.56443467 10.98624905 15.90908918 13.61830747 10.45354777 13.91142346 6.52144226 11.26417861 13.77942489 7.78833019 10.50031428 8.49657766] [17.87115878 27.41278794 15.76902823 15.14217257 17.81702716 11.33772803 12.38278671 10.84953719 15.78392973 13.63477971 10.38321689 13.90613565 6.50107704 11.29140373 13.65297189 7.74914332 10.51602094 8.48095548] [17.88771571 27.25541888 15.68831201 15.14825091 17.86838126 11.29250508 12.53558569 11.04940133 15.83986184 13.5638139 10.42305742 13.80778039 6.51537202 11.2760525 13.45572465 7.73552902 10.64074088 8.39486133] [18.1043866 27.17618491 15.72713108 15.13422885 18.04524502 11.43195682 12.38907068 11.02179361 15.69876075 13.57441734 10.31457895 13.83709715 6.51033794 11.34569755 13.63364022 7.70312622 10.57403898 8.49316678] [17.82971343 27.03356494 15.70753352 15.13169353 17.8784962 11.28461406 12.35562309 10.99018491 15.62217561 13.32664409 10.30137085 13.5527751 6.48279262 11.29494327 13.38335573 7.6677525 10.49439718 8.39410613] [17.92032833 27.06560662 15.72770566 15.14797931 18.01811249 11.22905918 12.42604672 10.9027607 15.57685106 13.37504166 10.28913854 13.73730841 6.49308516 11.30750726 13.47306965 7.735042 10.59249267 8.42823335] [17.91539425 27.22902495 15.70993313 15.20408303 18.1706033 11.35164406 12.44000196 10.95639041 15.76970841 13.56134311 10.35833746 13.70236146 6.50141691 11.32153624 13.60431541 7.6966128 10.60894497 8.43092026] [17.93086052 27.33919627 15.69425507 15.28258225 18.37388654 11.39731783 12.48015844 10.94323359 15.84318647 13.61010023 10.35977102 13.62575351 6.50054323 11.34087487 13.65577552 7.67506288 10.64258462 8.42952957] [17.9313076 26.80769739 15.67454509 15.11583806 18.15523427 11.27620197 12.42254795 11.09833644 15.60800598 13.38393389 10.32768134 13.62901723 6.50357794 11.31562656 13.44867217 7.68142269 10.64368323 8.37867208] [17.88656429 27.26072518 15.74540944 15.13571748 17.90251982 11.32231697 12.39292996 10.91233687 15.73978305 13.57169964 10.36929437 13.8364393 6.50169619 11.2976058 13.6016248 7.73209022 10.54827891 8.45520681] [18.12268657 27.04322093 15.70549743 15.15408004 17.97591381 11.31310051 12.41594185 10.90321545 15.72859291 13.56520276 10.39775385 13.919451 6.5232523 11.2781548 13.46768662 7.73342388 10.65191237 8.52287086] [17.93537341 27.137622 15.68636442 15.09284879 17.94018197 11.29703032 12.46049005 10.88881531 15.74322182 13.32637625 10.32292706 13.78657005 6.50444497 11.29199486 13.59283185 7.70839323 10.61546617 8.40221616] [18.18315508 27.26153421 15.71893109 15.16253365 18.0297939 11.3092673 12.56687375 11.08880608 15.80916032 13.49562228 10.42486777 14.0528354 6.52827826 11.31538449 13.57215622 7.75391035 10.68133905 8.44220171] [18.02013997 27.2486737 15.75098278 15.26088156 18.11086206 11.38833541 12.60017716 11.01865202 15.82189611 13.55095216 10.51413041 13.849654 6.51270453 11.32321194 13.57847646 7.68925575 10.67402805 8.46056234] [18.03587451 27.07146031 15.75830171 15.14683793 18.11953253 11.2852556 12.4738217 10.90170663 15.74246213 13.42882652 10.40721607 13.8276691 6.50665397 11.28050215 13.62032427 7.72601417 10.4698736 8.45339452] [17.90319576 27.23593997 15.63827968 15.15817846 17.96246176 11.46279508 12.53975475 10.95749995 15.77612033 13.59368593 10.37585257 13.76728261 6.51811307 11.31487602 13.49439779 7.71153712 10.71981833 8.41459722] [18.00903062 27.21404721 15.70754005 15.18427997 17.91290445 11.38799336 12.50023179 11.02922658 15.79987659 13.5241848 10.39899125 13.6854801 6.50865821 11.3225642 13.5505847 7.70510934 10.70591598 8.47176284]
| Teams | Ranks | Draft Advantage 2 | |
|---|---|---|---|
| 1 | Team Liquid | 2.783704 | 3.540573 |
| 4 | Vici Gaming | 1.789176 | 3.540573 |
| 0 | OG | 1.767033 | 3.540573 |
| 8 | Newbee | 1.591374 | 3.540573 |
| 2 | PSG.LGD | 1.586739 | 3.540573 |
| 3 | Team Secret | 1.548051 | 3.540573 |
| 11 | Fnatic | 1.438666 | 3.540573 |
| 14 | Natus Vincere | 1.431800 | 3.540573 |
| 9 | TNC Predator | 1.428801 | 3.540573 |
| 6 | Royal Never Give Up | 1.352719 | 3.540573 |
| 5 | Evil Geniuses | 1.282752 | 3.540573 |
| 13 | Mineski | 1.280869 | 3.540573 |
| 7 | Infamous Gaming | 1.258248 | 3.540573 |
| 16 | KEEN GAMING | 1.237095 | 3.540573 |
| 10 | Virtus.pro | 1.222059 | 3.540573 |
| 17 | Ninjas in Pyjamas | 1.112360 | 3.540573 |
| 15 | Chaos Esports Club | 1.073208 | 3.540573 |
| 12 | Alliance | 1.012406 | 3.540573 |
Teamhg3
| Teams | Ranks | Draft Advantage 2 | |
|---|---|---|---|
| 1 | Team Liquid | 2.783704 | 3.540573 |
| 4 | Vici Gaming | 1.789176 | 3.540573 |
| 0 | OG | 1.767033 | 3.540573 |
| 8 | Newbee | 1.591374 | 3.540573 |
| 2 | PSG.LGD | 1.586739 | 3.540573 |
| 3 | Team Secret | 1.548051 | 3.540573 |
| 11 | Fnatic | 1.438666 | 3.540573 |
| 14 | Natus Vincere | 1.431800 | 3.540573 |
| 9 | TNC Predator | 1.428801 | 3.540573 |
| 6 | Royal Never Give Up | 1.352719 | 3.540573 |
| 5 | Evil Geniuses | 1.282752 | 3.540573 |
| 13 | Mineski | 1.280869 | 3.540573 |
| 7 | Infamous Gaming | 1.258248 | 3.540573 |
| 16 | KEEN GAMING | 1.237095 | 3.540573 |
| 10 | Virtus.pro | 1.222059 | 3.540573 |
| 17 | Ninjas in Pyjamas | 1.112360 | 3.540573 |
| 15 | Chaos Esports Club | 1.073208 | 3.540573 |
| 12 | Alliance | 1.012406 | 3.540573 |
Teamhg3
| Teams | Ranks | Draft Advantage 2 | |
|---|---|---|---|
| 1 | Team Liquid | 2.783704 | 3.540573 |
| 4 | Vici Gaming | 1.789176 | 3.540573 |
| 0 | OG | 1.767033 | 3.540573 |
| 8 | Newbee | 1.591374 | 3.540573 |
| 2 | PSG.LGD | 1.586739 | 3.540573 |
| 3 | Team Secret | 1.548051 | 3.540573 |
| 11 | Fnatic | 1.438666 | 3.540573 |
| 14 | Natus Vincere | 1.431800 | 3.540573 |
| 9 | TNC Predator | 1.428801 | 3.540573 |
| 6 | Royal Never Give Up | 1.352719 | 3.540573 |
| 5 | Evil Geniuses | 1.282752 | 3.540573 |
| 13 | Mineski | 1.280869 | 3.540573 |
| 7 | Infamous Gaming | 1.258248 | 3.540573 |
| 16 | KEEN GAMING | 1.237095 | 3.540573 |
| 10 | Virtus.pro | 1.222059 | 3.540573 |
| 17 | Ninjas in Pyjamas | 1.112360 | 3.540573 |
| 15 | Chaos Esports Club | 1.073208 | 3.540573 |
| 12 | Alliance | 1.012406 | 3.540573 |
import random
Train = random.sample(range(193), 97)
Train
total = range(193)
Test = []
for i in total:
if i not in Train:
Test.append(i)
Test
trainRadiant = games["Radiant"][97:]
trainDire = games["Dire"][97:]
trainWinner = games["Winner"][97:]
trainGames = pd.DataFrame(data = {'Radiant':trainRadiant,'Dire':trainDire,'Winner':trainWinner})
trainGames
testRadiant = games["Radiant"][0:96]
testDire = games["Dire"][0:96]
testWinner = games["Winner"][0:96]
testGames = pd.DataFrame(data = {'Radiant':testRadiant,'Dire':testDire,'Winner':testWinner})
testGames
| Radiant | Dire | Winner | |
|---|---|---|---|
| 0 | OG | Team Liquid | 1.0 |
| 1 | Team Liquid | OG | 0.0 |
| 2 | Team Liquid | OG | 0.0 |
| 3 | Team Liquid | OG | 1.0 |
| 4 | PSG.LGD | Team Liquid | 0.0 |
| ... | ... | ... | ... |
| 91 | KEEN GAMING | Newbee | 1.0 |
| 92 | Mineski | Team Secret | 1.0 |
| 93 | Team Liquid | Alliance | 1.0 |
| 94 | TNC Predator | Chaos Esports Club | 1.0 |
| 95 | Team Secret | Mineski | 1.0 |
96 rows × 3 columns
trainTeamsX = designMatrix(trainGames, index_dict)
trainTeams = BTfit(trainTeamsX, trainGames["Winner"], Teamlist,1)
trainTeams
| Teams | Ranks | |
|---|---|---|
| 0 | OG | [2.840385798173282] |
| 1 | Team Liquid | [-0.3046810887345014] |
| 2 | PSG.LGD | [1.9901626442372549] |
| 3 | Team Secret | [2.892053260280484] |
| 4 | Vici Gaming | [1.2795604021292535] |
| 5 | Evil Geniuses | [1.0521698545560705] |
| 6 | Royal Never Give Up | [-0.975257687074863] |
| 7 | Infamous Gaming | [1.3314696739609841] |
| 8 | Newbee | [1.2861607827156005] |
| 9 | TNC Predator | [1.1424430752350416] |
| 10 | Virtus.pro | [-0.9771617297025272] |
| 11 | Fnatic | [0.7043566292250386] |
| 12 | Alliance | [0.7448658902417994] |
| 13 | Mineski | [0.2033268315603538] |
| 14 | Natus Vincere | [1.0352982060976934] |
| 15 | Chaos Esports Club | [-1.879336589675658] |
| 16 | KEEN GAMING | [-0.05767535237306112] |
| 17 | Ninjas in Pyjamas | [-2.259397093942969] |
wins = 0
for i in range(len(testGames["Radiant"])):
li = trainTeams["Ranks"][index_dict[testGames["Radiant"][i]]][0]
lj = trainTeams["Ranks"][index_dict[testGames["Dire"][i]]][0]
result = testGames["Winner"][i]
pi = li/(li + lj)
if pi >= 0.5 and result ==1:
wins +=1
elif pi < 0.5 and result ==0:
wins +=1
print(wins)
test_accuracy1 = wins/len(testGames["Radiant"])
test_accuracy1
49
0.5104166666666666
heroes1 = []
heroes2 = []
i = 0
for game in Stats:
if i == 0:
i += 1
else:
heroes1.append(Stats[i][2])
heroes2.append(Stats[i][5])
i += 1
heroes1new = []
heroes2new = []
for i in heroes1:
heroes1new.append(i.split(" "))
for i in heroes2:
heroes2new.append(i.split(" "))
trainHeroes1 = heroes1new[97:]
trainHeroes2 = heroes2new[97:]
testHeroes1 = heroes1new[0:96]
testHeroes2 = heroes2new[0:96]
Matchups1 = []
binWins2 = []
for i in trainHeroes1:
for j in i:
Matchups1.append(j)
Matchups1.append(j)
Matchups1.append(j)
Matchups1.append(j)
Matchups1.append(j)
Matchups2 = []
for i in trainHeroes2:
for j in range(5):
Matchups2.append(i[0])
Matchups2.append(i[1])
Matchups2.append(i[2])
Matchups2.append(i[3])
Matchups2.append(i[4])
for i in binWins[97:]:
for j in range(25):
binWins2.append(i)
d = {'Radiant':Matchups1, 'Dire':Matchups2, 'Winner':binWins2}
trainHeroGames = pd.DataFrame(data = d)
trainHeroes1X = designMatrix(trainHeroGames, hdict)
trainHeroesSkill1 = BTfit(trainHeroes1X, binWins2, heroes,1)
trainHeroesSkill1
| Teams | Ranks | |
|---|---|---|
| 0 | Io | [1.5893340803550933] |
| 1 | Tiny | [0.8923347864307171] |
| 2 | Abaddon | [0.7914379178579968] |
| 3 | Timbersaw | [0.004149155693118622] |
| 4 | Gyrocopter | [1.3475426607028447] |
| ... | ... | ... |
| 110 | Spirit Breaker | [-0.9442492647232976] |
| 111 | Night Stalker | [0.45399487590946896] |
| 112 | Bounty Hunter | [0.41117813217253885] |
| 113 | Venomancer | [-1.720781771765306] |
| 114 | Ember Spirit | [-0.9306950065924455] |
115 rows × 2 columns
testTeamskill1 = np.zeros(96)
testTeamskill2 = np.zeros(96)
index = 0
for i in testHeroes1:
for j in i:
testTeamskill1[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
index += 1
index = 0
for i in testHeroes2:
for j in i:
testTeamskill2[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
index += 1
testTeamskill1
testTeamskill2
array([ 7.50259507, 3.70739975, 4.48896446, 4.77678582, 6.20031762,
2.58992321, 5.0605789 , 4.90023232, 3.69133377, 4.89764381,
2.86442133, 4.4137556 , 4.99799713, 5.44349873, 4.84601914,
5.49829519, 3.84934865, 5.21831539, 4.00776801, 5.26953966,
4.63358376, 5.07591498, 7.12645345, 5.10212135, 3.92713596,
2.58734916, 4.74711724, 2.19404583, 5.96307151, 3.90695605,
6.57073392, 4.81468563, 5.24624681, 4.87174387, 4.63460062,
5.60926128, 4.83655621, 6.23767846, 7.09666472, 4.69566201,
4.20979374, 7.03325309, 3.67504091, 5.7823187 , 5.51268422,
5.5651508 , 4.65577811, 6.33620983, 4.9823792 , 3.93941145,
4.24558141, 6.69749662, 3.44045285, 5.03213711, 5.19486685,
5.10170913, 2.9431028 , 5.00415241, 2.64353904, 2.70474954,
2.42812053, 5.37805911, 6.67866348, 3.57942337, 5.3583989 ,
4.90752767, 2.33219614, 4.522563 , 3.18065437, 5.47744195,
5.55529756, 4.37895552, 4.04000139, 4.52805853, 4.51325908,
3.68801967, 4.14850202, 4.34667202, 5.71785857, 4.56131751,
5.87486464, 2.7982419 , 6.25290854, 4.33664185, 5.62143533,
-0.47220756, 5.52597646, 4.64068376, 5.08854354, 6.35191604,
5.16499813, 6.10362645, 4.71597231, 4.12724136, -0.69889557,
4.45188802])
testTeamwin1 = 0
for i in range(96):
prob = testTeamskill1[i]/(testTeamskill1[i]+testTeamskill2[i])
result = testGames["Winner"][i]
if prob < 0.5 and result ==0:
testTeamwin1 += 1
if prob >= 0.5 and result ==1:
testTeamwin1 += 1
test_accuracy2 = testTeamwin1/len(testGames["Radiant"])
test_accuracy2
0.5
k = len(hdict.keys())
r = []
r = np.array(trainWinner)
m = len(r)
Ip = np.zeros((m,k))
I = np.zeros((m,k))
l = 0
for i in trainHeroes1:
for j in i:
if trainGames["Winner"][97+l] == 1:
Ip[l,hdict[j]] = 1
I[l,hdict[j]] = 1
l+=1
l = 0
for i in trainHeroes2:
for j in i:
if trainGames["Winner"][97+l] == 0:
Ip[l,hdict[j]] = 1
I[l,hdict[j]] = 1
l += 1
trainHeroesSkill2 = BTfit2(I,Ip,r,k,10,heroes)
[2.79273355e-01 6.44402312e-02 1.98623614e-01 9.31682745e-01 8.54413568e-01 9.54734735e-01 5.22533482e-02 5.79471681e-01 4.80496267e-01 2.17089790e-02 3.73620464e-01 4.14091801e-01 6.03907234e-01 6.71748727e-01 8.38865700e-01 7.79526208e-01 4.00701044e-01 7.94529231e-01 8.93124310e-01 2.62489691e-01 9.89197007e-01 8.53307099e-01 7.31477156e-01 3.55565625e-01 8.83289491e-01 8.67959091e-01 9.55766446e-01 1.07256520e-04 1.65410419e-02 3.14070057e-01 9.95316175e-01 1.48844223e-01 1.67377119e-01 7.58572037e-01 6.95296662e-02 7.05473439e-01 4.69165282e-01 1.01882161e-02 7.74823863e-01 7.94201008e-01 1.49569452e-01 2.37036318e-02 7.62063771e-01 2.23670180e-01 2.62174398e-01 4.56869503e-01 2.49926919e-01 5.68283562e-01 8.46942997e-01 3.78099537e-01 4.32465116e-01 8.32619176e-01 3.71131936e-01 4.05532719e-02 5.54671486e-01 4.51246243e-01 7.25300977e-01 3.78450522e-01 8.40662496e-01 4.69314694e-01 5.62643429e-01 6.61199339e-01 4.62241868e-01 6.23636945e-01 2.21880631e-01 7.32863117e-01 3.81682089e-01 1.94834542e-01 2.71162775e-01 2.49225052e-01 1.52139062e-01 7.71373704e-01 2.55411732e-01 1.27543405e-01 6.65167153e-01 4.12804949e-01 6.67767766e-01 6.59813517e-01 3.05377672e-01 2.01224241e-01 2.22027126e-01 1.19970863e-01 3.71454410e-02 3.41315835e-02 2.30496548e-01 2.28353706e-01 6.24910622e-01 8.92561185e-01 7.79728016e-01 7.21451269e-01 3.10442159e-01 3.63083416e-01 1.96081784e-01 9.35491798e-01 5.61734000e-01 8.17291537e-01 3.48913981e-01 7.99714263e-01 1.04104463e-01 7.12120165e-01 9.17448496e-01 8.03585369e-01 3.27113146e-01 2.55107179e-01 4.95002174e-01 4.13610954e-01 4.24937095e-01 7.43783048e-02 6.03390651e-01 7.47199734e-01 7.97576227e-01 3.81500523e-01 7.97158153e-01 4.71797370e-01 7.21399171e-01] [nan 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 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c:\users\rowan\appdata\local\programs\python\python37\lib\site-packages\ipykernel_launcher.py:62: RuntimeWarning: invalid value encountered in double_scalars
testTeamskill3 = np.zeros(96)
testTeamskill4 = np.zeros(96)
index = 0
for i in testHeroes1:
for j in i:
testTeamskill3[index] += trainHeroesSkill2["Ranks"][hdict[j]]
index += 1
index = 0
for i in testHeroes2:
for j in i:
testTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
index += 1
testTeamskill3
testTeamskill4
testTeamwin2 = 0
for i in range(96):
prob = testTeamskill3[i]/(testTeamskill3[i]+testTeamskill4[i])
result = testGames["Winner"][i]
if prob < 0.5 and result ==0:
testTeamwin2 += 1
if prob >= 0.5 and result ==1:
testTeamwin2 += 1
test_accuracy3 = testTeamwin2/len(testGames["Radiant"])
test_accuracy3
0.5520833333333334
wincounts = np.zeros(len(Teamlist))
index = 97
for i in trainGames["Radiant"]:
if trainGames["Winner"][index] == 1:
wincounts[index_dict[i]] += 1
index+=1
index = 97
for i in trainGames["Dire"]:
if trainGames["Winner"][index] == 0:
wincounts[index_dict[i]] += 1
index+=1
wincounts
array([11., 3., 10., 9., 7., 6., 3., 5., 5., 6., 3., 5., 5.,
5., 7., 1., 4., 1.])
trainTeamskill1 = np.zeros(m)
trainTeamskill2 = np.zeros(m)
index = 0
for i in trainHeroes1:
for j in i:
trainTeamskill1[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
index += 1
index = 0
for i in trainHeroes2:
for j in i:
trainTeamskill2[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
index += 1
trainTeamskill3 = np.zeros(m)
trainTeamskill4 = np.zeros(m)
index = 0
l = 97
for i in trainHeroes1:
for j in i:
if trainGames["Winner"][l] == 1:
trainTeamskill3[index] += trainHeroesSkill2["Ranks"][hdict[j]]
trainTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
index += 1
l += 1
index = 0
l = 97
for i in trainHeroes2:
for j in i:
if trainGames["Winner"][l] == 0:
trainTeamskill3[index] += trainHeroesSkill2["Ranks"][hdict[j]]
trainTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
index += 1
l += 1
trainTeamwin1 = np.zeros(m)
for i in range(m):
prob = trainTeamskill1[i]/(trainTeamskill1[i] + trainTeamskill2[i])
if prob >= 0.5:
trainTeamwin1[i] = 1
trainTeamwin2 = np.zeros(m)
for i in range(m):
if (trainTeamskill3[i]/trainTeamskill4[i]) > 0.5:
trainTeamwin2[i] = 1
trainGames["Team Winner"] =trainTeamwin1
trainGames["Team Winner 2"] = trainTeamwin2
k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 97
for i in trainGames["Radiant"]:
j = trainGames["Dire"][l]
if trainGames["Team Winner"][l] == 1:
aij[index_dict[i]][index_dict[j]]+=1
else:
bij[index_dict[i]][index_dict[j]]+=1
l+=1
nij = aij + bij
c = sum(trainGames["Team Winner"])
np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')
data = {"Teams":Teamlist, "Ranks":np.exp(res.x[:-1]),"Draft Advantage 1":np.exp(res.x[-1])}
Teamhg3 = pd.DataFrame(data)
k = len(index_dict.keys())
aij = np.zeros((k,k))
bij = np.zeros((k,k))
l = 97
for i in trainGames["Radiant"]:
j = trainGames["Dire"][l]
if trainGames["Team Winner 2"][l] == 1:
aij[index_dict[i]][index_dict[j]]+=1
else:
bij[index_dict[i]][index_dict[j]]+=1
l+=1
nij = aij + bij
c = sum(trainGames["Team Winner 2"])
np.random.seed(12345)
x0 = np.random.rand(k+1)
x0[-1] = 1
res = minimize(BTloglik, x0, method = 'nelder-mead')
data = {"Teams":Teamlist, "Ranks":res.x[:-1]/np.min(res.x[:-1]),"Draft Advantage 2":res.x[-1]}
Teamhg4 = pd.DataFrame(data)
[25.15272366 15.34087505 13.22156716 13.55183063 19.36246664 19.80758143 25.71109849 20.72969973 22.26137238 20.73598411 22.24230313 25.65977395 10.41307894 11.9819762 15.0581256 20.78144511 23.23586702 24.2336808 ] [25.94289734 15.38735586 13.26804797 13.59831144 19.40894745 19.85406223 25.7575793 20.77618053 22.30785318 20.78246492 22.28878393 25.70625476 10.45955975 12.02845701 15.1046064 20.82792591 23.28234782 24.2801616 ] [25.16854244 15.60979427 13.23738594 13.56764941 19.37828542 19.8234002 25.72691727 20.74551851 22.27719116 20.75180289 22.2581219 25.67559273 10.42889772 11.99779498 15.07394438 20.79726388 23.2516858 24.24949958] [25.1619196 15.35007099 13.37789815 13.56102658 19.37166258 19.81677737 25.72029443 20.73889567 22.27056832 20.74518005 22.25149907 25.6689699 10.42227489 11.99117215 15.06732154 20.79064105 23.24506296 24.24287674] [25.16295168 15.35110307 13.23179518 13.72570687 19.37269466 19.81780944 25.72132651 20.73992774 22.27160039 20.74621213 22.25253114 25.67000197 10.42330696 11.99220422 15.06835361 20.79167312 23.24609503 24.24390881] [25.18110991 15.3692613 13.24995342 13.58021689 19.84503292 19.83596768 25.73948475 20.75808598 22.28975863 20.76437036 22.27068938 25.68816021 10.4414652 12.01036246 15.08651185 20.80983136 23.26425327 24.26206705] [25.1825009 15.37065229 13.2513444 13.58160787 19.39224388 20.31379442 25.74087573 20.75947696 22.29114961 20.76576135 22.27208036 25.68955119 10.44285618 12.01175344 15.08790283 20.81122234 23.26564425 24.26345803] [25.20094939 15.38910078 13.26979289 13.60005636 19.41069237 19.85580715 26.53093584 20.77792545 22.3095981 20.78420984 22.29052885 25.70799968 10.46130467 12.03020193 15.10635132 20.82967083 23.28409274 24.28190652] [25.18538252 15.37353391 13.25422602 13.58448949 19.3951255 19.84024028 25.74375735 21.28490026 22.29403123 20.76864297 22.27496198 25.69243281 10.4457378 12.01463506 15.09078445 20.81410396 23.26852587 24.26633965] [25.19016899 15.37832038 13.2590125 13.58927597 19.39991197 19.84502676 25.74854383 20.76714506 22.89794302 20.77342944 22.27974846 25.69721929 10.45052428 12.01942154 15.09557093 20.81889044 23.27331235 24.27112613] [25.18540216 15.37355354 13.25424566 13.58450913 19.39514514 19.84025992 25.74377699 20.76237822 22.29405087 21.2915185 22.27498162 25.69245245 10.44575744 12.0146547 15.09080409 20.8141236 23.26854551 24.26635929] [25.1901094 15.37826079 13.25895291 13.58921638 19.39985238 19.84496717 25.74848423 20.76708547 22.29875812 20.77336985 22.87786071 25.6971597 10.45046469 12.01936195 15.09551134 20.81883085 23.27325276 24.27106654] [25.200789 15.38894039 13.2696325 13.59989597 19.41053198 19.85564676 25.75916383 20.77776506 22.30943772 20.78404945 22.29036846 26.47688468 10.46114428 12.03004154 15.10619093 20.82951044 23.28393236 24.28174613] [25.15314308 15.34129447 13.22198658 13.55225005 19.36288606 19.80800084 25.71151791 20.73011914 22.26179179 20.73640353 22.24272254 25.66019337 10.420209 11.98239562 15.05854501 20.78186452 23.23628643 24.23410021] [25.15804588 15.34619727 13.22688938 13.55715285 19.36778886 19.81290364 25.71642071 20.73502195 22.2666946 20.74130633 22.24762534 25.66509617 10.41840116 12.07245393 15.06344782 20.78676733 23.24118924 24.23900302] [25.16765885 15.35581024 13.23650235 13.56676582 19.37740183 19.82251661 25.72603368 20.74463491 22.27630756 20.7509193 22.25723831 25.67470914 10.42801413 11.99691139 15.31202375 20.79638029 23.2508022 24.24861598] [25.18554422 15.37369561 13.25438772 13.58465119 19.3952872 19.84040198 25.74391905 20.76252029 22.29419294 20.76880467 22.27512369 25.69259451 10.4458995 12.01479676 15.09094616 21.33939461 23.26868758 24.26650136] [25.19321429 15.38136568 13.26205779 13.59232126 19.40295727 19.84807205 25.75158912 20.77019036 22.30186301 20.77647474 22.28279375 25.70026458 10.45356957 12.02246683 15.09861623 20.82193573 23.92420769 24.27417142] [25.19633246 15.38448385 13.26517596 13.59543943 19.40607544 19.85119022 25.75470729 20.77330852 22.30498117 20.77959291 22.28591192 25.70338275 10.45668774 12.025585 15.10173439 20.8250539 23.27947581 24.97503032] [25.94289734 15.60979427 13.37789815 13.72570687 19.84503292 20.31379442 26.53093584 21.28490026 22.89794302 21.2915185 22.87786071 26.47688468 10.420209 12.07245393 15.31202375 21.33939461 23.92420769 24.97503032] [25.32052117 15.40187358 13.25949767 13.59335596 19.46723897 19.91719869 25.88497374 20.84935397 22.39769841 20.85570675 22.37842159 25.83309055 10.42043991 12.00641414 15.11604648 20.90166258 23.38280012 23.61597512] [25.32854167 15.39861848 13.25380711 13.58804493 19.46860541 19.91907665 25.03553088 20.85229161 22.40239622 20.85865162 22.3830975 25.84169375 10.41152189 11.99929906 15.11246646 20.90465969 23.38861781 24.24285948] [25.3927389 15.40351384 13.24589357 13.58212747 19.49780688 19.95096835 24.28071432 20.88975651 22.4491184 20.8961545 22.42970442 25.90895554 10.38663411 11.98389355 15.1156529 20.94243733 23.44122974 24.2229955 ] [25.36581236 15.41718132 13.26832914 13.60319666 19.49483605 19.94615597 25.67364422 20.8811291 22.43415409 20.88750109 22.414819 25.8799312 10.42068909 12.01145762 15.13049019 20.3490364 23.42223371 24.25363793] [24.54129505 15.15862324 13.13201529 13.44783282 19.00430773 19.4299529 24.80615904 20.31173713 21.7764134 20.31774663 21.75817825 25.02616662 10.44637222 11.94664487 14.88824143 20.25075959 22.70828299 23.47462123] [25.23163402 15.36902698 13.23875553 13.57072752 19.41142297 19.85884041 25.4805153 20.785729 22.32532526 20.79204589 21.64702346 25.74130737 10.41573851 11.99275195 15.08481481 20.70951006 23.30486114 24.08978516] [25.23253017 15.36460859 13.23318924 13.56534011 19.40918286 19.8568414 25.44894202 20.78422944 22.32465533 20.79054974 22.17336221 25.74247816 10.40865101 11.98651424 15.08024328 20.69458577 22.59107243 24.06730782] [25.24527214 15.37148292 13.23879619 13.57114456 19.41846217 19.86638689 25.42582086 20.21891824 22.33566822 20.80065043 22.17050852 25.75552336 10.41257844 11.99137989 15.08694852 20.68985486 23.17327827 24.05423362] [25.25469687 15.37443006 13.2403442 13.57291061 19.42406428 19.34785045 25.39563685 20.68550618 22.34318414 20.80715931 22.16270968 25.76528283 10.41227235 11.99210955 15.08970899 20.67998316 23.16644289 24.03514627] [25.24200462 15.35458779 13.21895756 13.55176463 19.4071526 19.75059165 25.33920251 20.65750647 22.32838493 20.79124853 22.13099762 24.90680631 10.38883912 11.96981961 15.06966067 20.64598247 23.13579449 23.99096706] [25.25798492 15.36267692 13.22534225 13.55841493 19.41847609 19.75126511 25.30688027 20.65658539 21.68315842 20.80367667 22.12597652 25.5997744 10.39296508 11.97520735 15.07752241 20.63843477 23.1319475 23.9721782 ] [25.29113617 15.35459766 13.20835741 13.5428179 19.42729602 19.70433695 25.08720068 20.60130414 21.07988465 20.81826827 22.04922346 25.5509083 10.36417866 11.95301361 15.068255 20.54846787 23.06133252 23.82334658] [25.27377684 15.36541274 13.22525801 13.55877016 19.42656322 19.74171771 25.2426934 20.64439687 22.15598175 20.23904254 22.10699775 25.58962196 10.38914374 11.97347365 15.07988198 20.61527398 23.11491178 23.93040109] [25.3190404 15.40062058 13.25829387 13.59214449 19.46589261 19.76745333 25.22630572 20.66809582 22.1775738 20.73920132 22.12546122 25.61488616 10.41930131 12.00523912 15.11480005 20.63051505 23.13487217 23.931289 ] [24.46881649 15.35547063 13.21074829 13.54497223 19.42528862 19.71184378 25.12419412 20.61023732 22.11738831 20.68811751 22.06182231 25.5587511 10.36858104 11.95629231 15.06933049 20.56332045 23.07288475 23.84824796] [25.16414608 15.10836727 13.23855988 13.57319551 19.46075492 19.73074833 25.09176921 20.62665878 22.13123988 20.71201603 22.07186247 25.57706943 10.39289183 11.98255875 15.09943138 20.56943784 23.08474655 23.83687234] [25.14965586 15.31940849 13.22473633 13.55982581 18.95771731 19.70708719 25.011458 20.60025633 22.10199955 20.69386454 22.03841624 25.55275372 10.37520878 11.96703172 15.08813166 20.53166472 23.05330921 23.77979108] [25.17166927 15.33958973 13.24750438 13.58309408 19.38775087 19.71899072 24.9608491 20.60913385 22.10774353 20.71184549 22.03951982 25.56392569 10.39372308 11.89470146 15.11368138 20.52799671 23.05662764 23.75481453] [25.16227388 15.32819247 13.23896481 13.57510566 19.37907758 19.69845351 24.87134232 20.58525681 22.08040686 20.6980105 22.00706431 25.54257003 10.38049667 11.95864213 14.84687625 20.49028048 23.02661341 23.6935859 ] [25.17750088 15.34123518 13.25516429 13.59191219 19.39511484 19.70140526 24.79821495 20.58452294 22.07585376 20.70835176 21.99686582 25.5446051 10.38420333 11.97062081 15.07544367 20.47428355 23.01910496 23.65164942] [25.18771179 15.34046605 13.27093823 13.61083689 19.40978905 19.64784981 24.34783511 20.51171714 21.98307598 20.69327739 21.87466087 25.48602901 10.36628688 11.96444418 15.08303262 20.32191342 22.91088137 23.36392045] [24.99644675 15.27422884 13.21851041 13.55226038 19.28467215 19.56500937 24.4712248 20.43127661 21.89824743 20.572485 21.81059047 25.33668839 10.37818702 11.94215808 15.01434654 20.29636246 22.82517195 24.22709609] [25.13546348 15.31659408 13.24483075 13.40459341 19.36944715 19.63661412 24.49793547 20.50678406 21.98330344 20.66279865 21.88794763 25.46298491 10.37056257 11.95101542 15.05614226 20.35204206 22.9156034 23.61377127] [25.13320179 15.31390989 13.08740799 13.54998154 19.36986965 19.61863164 24.37205777 20.48340413 21.95417601 20.65489343 21.85093643 25.44215292 10.36614594 11.94774462 15.0557713 20.30731968 22.88208497 23.54925305] [25.82340164 15.52485399 13.32976425 13.67794411 19.78245615 20.02024166 25.19470929 20.92039926 22.45566141 21.11967527 22.33749173 26.12410319 10.33369417 11.9938398 15.25703412 20.84224302 23.42329703 24.31075461] [25.04083901 15.27475953 13.19605138 13.52638024 19.31582546 19.51873468 24.32507574 20.36568705 21.81444578 20.57362645 21.69272393 25.30320542 10.35013612 11.92576846 15.023637 20.79396003 22.72661814 23.55245624] [25.15633222 15.31359729 13.2218611 13.55495469 19.39047526 19.56927022 24.38775948 20.41528407 21.8673029 20.64644686 22.45711416 25.39481667 10.34819859 11.9377028 15.06374828 20.45335271 22.7804498 23.65693468] [25.14747416 15.31265986 13.22622479 13.55923951 19.39076075 19.54112637 24.30786083 20.3781121 21.82003741 20.63284579 21.96437789 25.35722334 10.34892298 11.93880348 15.06658196 20.44289821 23.50892266 23.6362429 ] [25.10453022 15.28645641 13.22235502 13.55578498 19.38099652 19.38426167 23.74244609 20.17648743 21.56962377 20.5541221 21.86023294 25.16573897 10.31905199 11.91482028 15.05933141 20.31768012 23.96225787 23.42215549] [25.12001041 15.29686255 13.21888983 13.55182257 19.3775791 19.48095572 24.15387532 20.93445963 21.72857875 20.59688202 21.93456881 25.28227334 10.33515134 11.92588544 15.05698478 20.40844567 23.01418913 23.58276 ] [25.09651072 15.28577806 13.21507847 13.54783341 19.36712167 20.00946254 24.05356336 20.4975323 21.6566348 20.56834562 21.91835751 25.22190705 10.32734009 11.91818992 15.05078891 20.38973904 23.00498171 23.55423109] [25.09401273 15.29841292 13.2360578 13.56856878 19.37987263 19.63709772 23.9748259 20.5087016 21.60099729 20.56091343 21.92768575 26.10714309 10.34430061 11.93505324 15.06886863 20.39676111 23.0218427 23.55241685] [24.90962188 15.23725021 13.20618163 13.53478897 19.27401557 19.40662988 24.97175888 20.24058399 21.39992695 20.42118618 21.58302457 25.13414407 10.34201405 11.91519949 15.0158652 20.05150637 22.67713471 23.25692738] [24.99291241 15.26313707 13.22662973 13.55753319 19.33209476 19.57777072 24.01107629 20.43935398 21.60417298 21.09177521 21.84389702 25.40229631 10.33458104 11.92012992 15.04696602 20.31094831 22.95254133 23.47174163] [24.91358525 15.2135387 13.190282 13.5205419 19.2788129 19.53209086 23.89951069 20.39159522 21.52233427 20.63303839 21.79578544 25.35469743 10.29550761 11.87942777 15.00496348 20.26203592 22.91336446 23.42236696] [25.80343127 15.24383644 13.23570642 13.56518134 19.30414626 19.56880033 23.87254156 20.42645153 21.51995474 20.67836621 21.83139723 25.38940069 10.3385382 11.9203096 15.04372626 20.29746144 22.95853555 23.46042069] [25.18103795 15.50296042 13.20764013 13.53616579 19.2523483 19.53286602 23.77629956 20.38895946 21.44176862 20.65098413 21.7960061 25.35137591 10.30850828 11.88751893 15.00783992 20.26263615 22.93336512 23.43196963] [25.19897492 15.31301786 13.21972161 13.54710738 19.78288669 19.53819742 23.72607862 20.39311046 21.40143172 20.66469661 21.80387931 25.35453623 10.31917222 11.89470388 15.01076912 20.27198784 22.95215888 23.45220399] [25.22262476 15.30941962 13.21687419 13.54043558 20.19077731 19.45401835 23.08907686 20.28996544 21.05400003 20.64964494 21.68712821 25.25564568 10.29116465 11.85857934 14.97204853 20.14284301 22.9013984 23.28933642] [25.182534 15.28974154 13.19380819 13.51943008 19.44051244 19.49839075 23.57875377 20.35059515 21.28447968 20.64027264 21.76559094 25.31093654 10.28986335 11.96266051 14.97038896 20.2349661 22.93249787 23.42789623] [25.19426447 15.29717051 13.19766795 13.52163102 19.45583578 19.49784267 23.53122729 20.34971473 21.22765123 20.64812854 21.77253448 25.30790839 10.2935493 11.89961473 15.24902226 20.24566566 22.95261678 23.46091244] [25.05565913 15.26473403 13.22662264 13.55117362 19.41021499 19.47046431 23.15899875 20.30765058 22.23422576 20.51091056 21.70195401 25.27408019 10.30243724 11.89955045 15.04726047 20.15663409 22.90632152 23.29468141] [25.35835761 15.3449649 13.21838052 13.54253667 19.56873845 19.59946189 23.6200364 20.46389517 21.45554856 20.75039251 21.92863197 25.48168693 10.28043441 11.90634138 15.10605781 20.39314509 23.15309931 22.77997187] [25.24129804 15.30503128 13.18891116 13.70585974 19.5037165 19.52353812 23.50365434 20.38349598 21.3158918 20.66840779 21.85502278 25.35658058 10.27856684 11.89257436 15.06889094 20.34139446 23.08651405 23.3152327 ] [25.25481476 15.30675977 13.35901265 13.57590944 19.51756988 19.5311954 23.53640118 20.39604573 21.27591208 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c:\users\rowan\appdata\local\programs\python\python37\lib\site-packages\ipykernel_launcher.py:23: RuntimeWarning: invalid value encountered in log
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8.84445222 15.2114853 7.75016452 13.42743453 8.73688075] [15.30479522 18.13892449 13.3180627 15.17806319 13.95652664 11.96081244 10.1298601 15.74237081 12.36203265 11.76358913 10.77682231 18.12733451 7.39110696 8.81045607 15.68815 7.66737277 13.73543633 8.16729029] [16.3301959 18.85207525 13.59647927 15.5372661 14.48381089 12.09323991 10.2871324 16.03628825 13.11487462 12.0755301 10.87639299 19.16544142 7.43923992 8.92926304 16.08193621 8.06548905 13.7823377 8.63708869] [16.55478704 19.77697168 13.8323497 15.98766275 14.60939204 12.33811644 10.10825211 16.15132656 13.08445712 11.99597511 10.68445315 19.66448426 7.33861307 8.93011599 16.58216949 8.09803796 13.39755985 8.42001603] [15.47231931 18.32279808 13.35762055 15.19000343 14.0098444 11.74282135 10.63681745 15.74612376 13.5999533 12.05482243 10.93718848 18.72024408 7.49238019 8.91827173 15.76217642 8.36430227 13.58002283 8.90202849] [17.04856031 18.85609644 13.9105234 15.6925445 15.11690275 12.02906475 10.42571856 16.31084527 12.8704871 12.00014181 10.83369525 19.38810568 7.47195537 9.01423157 16.21292435 8.38695861 14.84072818 8.7561332 ] [14.95786232 17.81574666 13.0679968 14.86474767 13.83547018 11.50928741 10.17178092 15.23062751 12.49949457 12.01221172 10.97770626 18.16006853 7.4529461 8.85736587 15.39720685 8.12797338 13.41352173 8.8587626 ] [15.42778576 18.75467668 13.5750859 15.47715216 14.15217033 11.75681321 10.20502799 15.76651911 13.05898149 11.81907769 10.66011044 18.7073301 7.36180731 8.87608038 16.06270646 7.96001081 13.75412006 8.49722339] [14.80021742 19.38278395 13.75304388 15.78510433 13.9496044 11.66271392 9.98879704 15.65239183 13.03418747 11.52826198 10.31455377 18.6757376 7.2164612 8.82841472 16.44456918 7.82012438 13.4619148 8.17150809] [16.50326038 17.47430067 13.26495739 14.75411034 13.78552393 11.16815034 10.69592559 15.59223013 13.35005579 11.97459904 10.81508362 18.74956105 7.58144276 8.97286991 15.31519512 8.42278906 13.61302222 9.05759301] [16.05311071 18.78146495 13.69543749 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7.99789481 6.25959278] [15.55713777 11.25263136 11.19113479 17.3182899 16.42364029 9.91176846 7.90773577 11.18290879 10.7508627 11.44286157 7.79338574 13.28659533 5.84372563 14.69344414 11.78745588 5.65664875 7.92924653 6.22521609] [15.66341673 11.24177178 11.1666733 17.29378113 16.35560495 9.98981986 7.91262764 11.14864985 10.7071799 11.54404245 7.79065742 13.4217708 5.85053021 14.75408264 11.78954787 5.67037225 7.95105901 6.25298487] [15.7011356 11.21974621 11.17152708 17.34134861 16.36139593 9.98970566 7.91108209 11.15328509 10.66016264 11.63280988 7.79549338 13.48056599 5.85025488 14.7706638 11.79058589 5.66801477 7.96125617 6.27596665] [15.67677335 11.27379762 11.142338 17.1848984 16.3795989 9.9733575 7.9152928 11.15178644 10.78501864 11.60168638 7.80062275 13.37255883 5.86013689 14.77240583 11.82563594 5.68451791 7.95965195 6.25335319] [15.81209339 11.26711899 11.19674499 17.33568742 16.35792889 10.00155686 7.91432864 11.17797407 10.72727437 11.52257703 7.85269768 13.42437209 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5.89661388 13.84559491 12.45556396 5.80856201 8.05393048 6.26343094] [15.75666658 10.71177779 10.80542789 17.81656971 16.4457649 9.73836103 7.84938897 10.92107552 10.54645236 11.5248695 7.80178591 13.42609296 5.8948884 13.79087534 12.40616756 5.79774617 8.14950542 6.21850083] [16.21994377 10.73425512 10.89515324 18.11748467 16.69037542 9.89583431 8.01685005 10.89674887 10.57825189 11.62794727 7.88331109 13.73052558 5.91060977 13.91095607 12.59423139 5.82833477 8.14118578 6.26339316] [15.96564007 10.70212199 10.85367869 17.94046648 16.45875836 9.84243519 7.94625395 10.84471881 10.54262169 11.49253496 7.82578032 13.64807552 5.9008202 13.83296544 12.44003856 5.83781785 8.10115363 6.28010008] [15.90956401 10.64362475 10.80459424 17.91024887 16.35337435 9.87547654 7.950068 10.76551456 10.46405434 11.46212702 7.80989621 13.62417594 5.89861037 13.78839413 12.45925658 5.85931025 8.08318476 6.30787633] [16.31242322 10.80853573 11.00628916 18.13755136 16.68446868 9.89082298 8.04684889 10.91795033 10.6966613 11.51566732 7.88425116 13.94469015 5.91163278 13.96833176 12.43635211 5.83885326 8.08198574 6.29248613] [15.89433826 10.736144 10.85539086 17.89673473 16.50557426 9.77632475 7.89823028 10.92091152 10.5839404 11.52327018 7.82235791 13.55440596 5.89912251 13.83537408 12.41433432 5.80795903 8.13324599 6.23683553] [15.99893059 10.77688099 10.84256325 17.80549891 16.35816855 9.89998611 7.84065641 10.83492102 10.51363659 11.46106244 7.81660381 13.70531018 5.89289608 14.01300217 12.36734331 5.78568843 8.07853803 6.23112237] [15.72813857 10.71293573 10.8330148 17.80609476 16.2923213 9.88027288 7.91760223 10.76909041 10.47616971 11.27723525 7.73587864 13.47657114 5.87344178 13.90559589 12.35356649 5.77517869 8.00537195 6.20048099] [16.15056573 10.78134533 10.92478252 18.02183528 16.65080327 9.79490166 7.9423792 10.97386401 10.66689796 11.61833095 7.88412994 13.76734282 5.91441038 13.88361329 12.44347726 5.83157942 8.16035498 6.27432482] [16.04906778 10.79708658 10.90277467 17.89141322 16.55529832 9.99549198 7.97316273 10.88099452 10.66081742 11.49503317 7.84931858 13.74491756 5.91647553 13.86593685 12.45126931 5.84230282 8.1355421 6.2677731 ] [16.00590822 10.6724904 10.78915638 17.8897476 16.4081164 9.80911112 7.95307622 10.7849735 10.54063165 11.59878047 7.76298431 13.65586286 5.89774333 13.94564106 12.51592666 5.76935058 8.09003303 6.28960876] [16.02519442 10.80225132 10.94241819 17.97226248 16.59466204 9.85148528 7.93193499 10.95817313 10.64193663 11.46969303 7.87049118 13.69267355 5.90509114 13.86389637 12.376661 5.83664031 8.12349883 6.23658807] [16.12271561 10.71851637 10.87142255 17.98590176 16.48859533 9.70402443 7.96367512 10.94168354 10.56577548 11.53423964 7.93154464 13.75675215 5.91068538 13.86924589 12.44728058 5.83292063 8.14817702 6.31695722] [16.07343564 10.73878289 10.88208692 17.96698835 16.51093076 9.76777446 7.95176551 10.92341737 10.58672971 11.52300652 7.88629665 13.72073277 5.90691319 13.87903432 12.4346949 5.82454095 8.13139353 6.28672219] [16.0653971 10.69619788 10.86137849 18.08117387 16.57749398 9.86555313 7.95628848 10.79873432 10.54840605 11.51344074 7.76989858 13.51967739 5.88618129 13.90209169 12.52103507 5.78137504 8.046098 6.18486932] [16.00987663 10.78442819 10.90537456 17.89255636 16.51280526 9.81266474 7.93369792 10.95172627 10.63149521 11.51181107 7.87448763 13.75743982 5.91067995 13.8824463 12.38079155 5.83161155 8.14497276 6.28911921] [15.80632098 10.7526705 10.93687594 17.95876951 16.68475475 9.84543934 7.92238349 10.95463171 10.5728039 11.53560927 7.88024176 13.66817288 5.90579688 13.73858457 12.45957198 5.84447684 8.10911703 6.22250055] [15.96885791 10.67769815 10.88079484 17.97118039 16.41930168 9.84926902 7.90916777 10.84690405 10.49903578 11.51528618 7.84691431 13.64798134 5.89917572 13.73595145 12.34299502 5.84095761 8.08472783 6.24429879] [16.01349932 10.71243279 10.91645992 18.15325495 16.61402487 9.83226429 7.95352446 10.91990668 10.57193878 11.43379602 7.80728744 13.91099048 5.90054149 13.85039538 12.48730979 5.80262693 8.14713666 6.28329736] [16.00918109 10.71057292 10.95601642 18.1584072 16.74648033 9.75853806 8.04493289 10.98048201 10.67499107 11.55765708 7.86953989 13.69438893 5.91336343 13.69175543 12.49184865 5.85562404 8.15326857 6.28160944] [16.00149712 10.76024197 10.87098854 17.89397048 16.45551174 9.86450812 7.89184252 10.87139536 10.55406937 11.48526304 7.82985051 13.7025634 5.89799838 13.93246103 12.39854309 5.8031916 8.09724902 6.24375113] [16.09966314 10.7398266 10.95635001 18.18075921 16.67151728 9.80912947 7.94954219 10.93115533 10.58060115 11.53664371 7.84134654 13.79273126 5.8965898 13.90346841 12.45662697 5.81816945 8.11472852 6.31252072] [16.24338068 10.73427784 10.86604764 18.03935008 16.41933241 9.81018929 7.96232478 10.85659856 10.61185448 11.4831803 7.79998444 13.75377105 5.89838155 13.99651621 12.39855777 5.79200495 8.12150946 6.3042556 ] [16.13345952 10.73898052 10.88396143 18.0192607 16.48637064 9.81912074 7.95228018 10.88136511 10.60208481 11.49647106 7.8202149 13.73233594 5.90022675 13.93167474 12.41402863 5.80519792 8.11840749 6.28364642] [15.82056391 10.75266427 10.90637805 17.87083079 16.39496074 9.75248919 7.86162255 10.91275217 10.60802066 11.37854553 7.79099962 13.69082946 5.8923875 13.82499213 12.247177 5.80588798 8.0870078 6.2647925 ] [16.13345862 10.7463578 10.91123721 18.07298598 16.66571969 9.86085089 7.95739944 10.91486753 10.66902964 11.52674549 7.87636509 13.82286448 5.9184179 13.80152568 12.52597568 5.82400373 8.15925299 6.30104898] [16.25149724 10.74832212 10.92059842 18.15407873 16.79029531 9.8994007 7.97871961 10.92376173 10.74018093 11.55553352 7.91602263 13.93030509 5.93493817 13.74015983 12.6352079 5.83109701 8.20352695 6.33609607] [16.08007761 10.75850121 10.81309116 17.84367599 16.47203879 9.87048663 7.90224629 10.83114889 10.57262622 11.50685087 7.84638139 13.73762941 5.90892474 13.9623346 12.515298 5.83893195 8.10602613 6.23718118] [16.11935634 10.73711709 10.86969834 17.96173052 16.47610006 9.914792 7.88777112 10.92619602 10.49194103 11.6597004 7.88659978 13.81867126 5.91072717 13.89620808 12.40385701 5.83125564 8.18498542 6.26637606] [15.98730766 10.74955582 10.90416358 17.9898193 16.5675483 9.79175749 7.95351583 10.88771005 10.6443307 11.43180844 7.81922227 13.68115182 5.90014137 13.85823955 12.44266884 5.81423103 8.08664786 6.26417124] [15.95815176 10.68922874 10.85094491 17.9898179 16.39579839 9.76378418 7.91994564 10.87146826 10.57017264 11.35854528 7.80345162 13.71438012 5.89814432 13.79668623 12.38315103 5.81685504 8.12861811 6.29042725] [15.87541279 10.74542824 10.88973725 17.85122655 16.45013894 9.83479477 7.90958399 10.93042362 10.57627196 11.50048749 7.88865513 13.525448 5.90492305 13.75258933 12.33677248 5.82393298 8.13674559 6.29075168] [16.00189995 10.77139193 10.85928496 17.76760744 16.41205438 9.81744104 7.90290245 10.87874199 10.61363661 11.55319591 7.8797041 13.47875102 5.90600293 13.85459619 12.34050171 5.83852583 8.09130381 6.25451954] [15.92791217 10.72741792 10.96731882 18.06738757 16.54713637 9.77396871 7.95404646 10.97242559 10.61778631 11.48614763 7.84471144 13.62299448 5.89740087 13.73220153 12.29400278 5.80247628 8.13068022 6.30226382] [16.04197333 10.75072053 10.85173014 17.89972958 16.49086342 9.8463137 7.91522382 10.86654373 10.58394393 11.50167133 7.84596482 13.7089233 5.90603727 13.904697 12.45987236 5.82979908 8.11220396 6.25348374]
Teamhg4
| Teams | Ranks | Draft Advantage 2 | |
|---|---|---|---|
| 0 | OG | 16.105615 | 1.26173 |
| 1 | Team Liquid | 8.212330 | 1.26173 |
| 2 | PSG.LGD | 8.453914 | 1.26173 |
| 3 | Team Secret | 18.947449 | 1.26173 |
| 4 | Vici Gaming | 16.885495 | 1.26173 |
| 5 | Evil Geniuses | 6.914868 | 1.26173 |
| 6 | Royal Never Give Up | 4.125893 | 1.26173 |
| 7 | Infamous Gaming | 8.459233 | 1.26173 |
| 8 | Newbee | 8.099027 | 1.26173 |
| 9 | TNC Predator | 9.355769 | 1.26173 |
| 10 | Virtus.pro | 4.007160 | 1.26173 |
| 11 | Fnatic | 12.720087 | 1.26173 |
| 12 | Alliance | 1.138338 | 1.26173 |
| 13 | Mineski | 12.688821 | 1.26173 |
| 14 | Natus Vincere | 10.819861 | 1.26173 |
| 15 | Chaos Esports Club | 1.000000 | 1.26173 |
| 16 | KEEN GAMING | 4.421653 | 1.26173 |
| 17 | Ninjas in Pyjamas | 1.698976 | 1.26173 |
testTeamskill1 = np.zeros(m)
testTeamskill2 = np.zeros(m)
index = 0
for i in testHeroes1:
for j in i:
testTeamskill1[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
index += 1
index = 0
for i in testHeroes2:
for j in i:
testTeamskill2[index] += trainHeroesSkill1["Ranks"][hdict[j]][0]
index += 1
testTeamskill3 = np.zeros(m)
testTeamskill4 = np.zeros(m)
index = 0
for i in testHeroes1:
for j in i:
if testGames["Winner"][index] == 1:
testTeamskill3[index] += trainHeroesSkill2["Ranks"][hdict[j]]
testTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
index += 1
index = 0
for i in testHeroes2:
for j in i:
if testGames["Winner"][index]==0:
testTeamskill3[index]+= trainHeroesSkill2["Ranks"][hdict[j]]
testTeamskill4[index] += trainHeroesSkill2["Ranks"][hdict[j]]
index += 1
testTeamwin1 = np.zeros(m)
for i in range(m):
prob = testTeamskill1[i]/(testTeamskill1[i]+testTeamskill2[i])
if prob >= 0.5:
testTeamwin1[i] = 1
testTeamwin2 = np.zeros(m)
for i in range(m):
if testTeamskill3[i]/(testTeamskill4[i]) > 0.5:
testTeamwin2[i] = testGames["Winner"][i]
testGames["Team Winner"] = testTeamwin1
testGames["Team Winner 2"] = testTeamwin2
wins = 0
for i in range(len(testGames["Radiant"])-1):
li = Teamhg3["Ranks"][index_dict[testGames["Radiant"][i]]]
lj = Teamhg3["Ranks"][index_dict[testGames["Dire"][i]]]
result = testGames["Winner"][i]
if testGames["Team Winner"][i]== 1:
"""Radiant is home team"""
pi = Teamhg3["Draft Advantage 1"][0]*li/(Teamhg3["Draft Advantage 1"][0]*li + lj)
elif 0 == testGames["Team Winner"][i]:
"""Dire is home team"""
pi = li/(Teamhg3["Draft Advantage 1"][0]*lj + li)
if pi >= 0.5 and result ==1:
wins +=1
elif pi < 0.5 and result ==0:
wins +=1
print(wins)
test_accuracy4 = wins/len(testGames["Radiant"])
test_accuracy4
47
0.4895833333333333
wins = 0
for i in range(len(testGames["Radiant"])-1):
li = Teamhg4["Ranks"][index_dict[testGames["Radiant"][i]]]
lj = Teamhg4["Ranks"][index_dict[testGames["Dire"][i]]]
result = testGames["Winner"][i]
if testGames["Team Winner 2"][i]== 1:
"""Radiant is winning team"""
pi = Teamhg4["Draft Advantage 2"][0]*li/(Teamhg4["Draft Advantage 2"][0]*li + lj)
elif 0 == testGames["Team Winner 2"][i]:
"""Dire is winning team"""
pi = li/(Teamhg4["Draft Advantage 2"][0]*lj + li)
if pi >= 0.5 and result ==1:
wins +=1
elif pi < 0.5 and result ==0:
wins +=1
print(wins)
test_accuracy5 = wins/len(testGames["Radiant"])
test_accuracy5
58
0.6041666666666666
test2.sort_values(by=['Ranks'], inplace=True, ascending=False)
testTeamwin2
array([0., 0., 0., 1., 0., 1., 0., 0., 0., 0., 0., 0., 1., 0., 0., 0., 1.,
0., 1., 0., 0., 0., 1., 0., 0., 0., 0., 0., 0., 0., 0., 1., 0., 0.,
0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 1., 0., 1., 1., 0.,
0., 0., 0., 0., 0., 1., 0., 0., 0., 0., 0., 0., 1., 0., 0., 1., 0.,
1., 0., 0., 0., 0., 0., 1., 0., 1., 0., 0., 1., 0., 0., 0., 1., 1.,
0., 0., 1., 1., 0., 1., 0., 1., 1., 0., 1.])
test_accuracy1
0.5104166666666666
test4.sort_values(by=['Ranks'], inplace=True, ascending=False)
test4[:18]
| Teams | Ranks | |
|---|---|---|
| 75 | Winter Wyvern | [2.9125007334122492] |
| 18 | Dark Seer | [2.147074236489597] |
| 21 | Tinker | [2.0473852065186655] |
| 37 | Windranger | [2.026770413536992] |
| 0 | Io | [1.9963013796061508] |
| 102 | Treant Protector | [1.9939669002202651] |
| 13 | Chen | [1.756651040412916] |
| 14 | Meepo | [1.6565872624962308] |
| 111 | Night Stalker | [1.6235947315356913] |
| 78 | Monkey King | [1.602031121802458] |
| 8 | Templar Assassin | [1.5878814862799928] |
| 97 | Slardar | [1.529911393917902] |
| 2 | Abaddon | [1.4212891456657923] |
| 16 | Faceless Void | [1.3819261247874097] |
| 40 | Medusa | [1.3682957813704135] |
| 86 | Skywrath Mage | [1.3468661580904757] |
| 6 | Tidehunter | [1.3409873276619968] |
| 4 | Gyrocopter | [1.2940120134221111] |
Teamhg4
| Teams | Ranks | Draft Advantage 2 | |
|---|---|---|---|
| 0 | OG | 0.537519 | 1.26173 |
| 1 | Team Liquid | 0.274083 | 1.26173 |
| 2 | PSG.LGD | 0.282146 | 1.26173 |
| 3 | Team Secret | 0.632364 | 1.26173 |
| 4 | Vici Gaming | 0.563547 | 1.26173 |
| 5 | Evil Geniuses | 0.230781 | 1.26173 |
| 6 | Royal Never Give Up | 0.137700 | 1.26173 |
| 7 | Infamous Gaming | 0.282324 | 1.26173 |
| 8 | Newbee | 0.270302 | 1.26173 |
| 9 | TNC Predator | 0.312245 | 1.26173 |
| 10 | Virtus.pro | 0.133738 | 1.26173 |
| 11 | Fnatic | 0.424528 | 1.26173 |
| 12 | Alliance | 0.037992 | 1.26173 |
| 13 | Mineski | 0.423485 | 1.26173 |
| 14 | Natus Vincere | 0.361109 | 1.26173 |
| 15 | Chaos Esports Club | 0.033375 | 1.26173 |
| 16 | KEEN GAMING | 0.147571 | 1.26173 |
| 17 | Ninjas in Pyjamas | 0.056703 | 1.26173 |
test5.sort_values(by=['Ranks'], inplace=True, ascending=False)
test5[:18]
| Heroes | Ranks | |
|---|---|---|
| 41 | Ember Spirit | 0.023769 |
| 51 | Earthshaker | 0.023092 |
| 69 | Grimstroke | 0.021431 |
| 1 | Tiny | 0.020281 |
| 43 | Silencer | 0.019167 |
| 5 | Rubick | 0.018819 |
| 48 | Centaur Warrunner | 0.018440 |
| 58 | Kunkka | 0.018382 |
| 2 | Abaddon | 0.017755 |
| 100 | Lone Druid | 0.017607 |
| 91 | Pudge | 0.016662 |
| 28 | Alchemist | 0.016517 |
| 52 | Oracle | 0.016416 |
| 13 | Chen | 0.016252 |
| 17 | Shadow Fiend | 0.016161 |
| 19 | Sven | 0.016012 |
| 65 | Slark | 0.015083 |
| 68 | Beastmaster | 0.015054 |
test_accuracy3
0.5520833333333334
Teamhg
| Teams | Ranks | Radiant Advantage | |
|---|---|---|---|
| 0 | OG | 18.053787 | 0.915161 |
| 1 | Team Liquid | 15.822115 | 0.915161 |
| 14 | Natus Vincere | 15.641570 | 0.915161 |
| 3 | Team Secret | 13.610140 | 0.915161 |
| 4 | Vici Gaming | 13.523732 | 0.915161 |
| 2 | PSG.LGD | 11.035274 | 0.915161 |
| 13 | Mineski | 10.865921 | 0.915161 |
| 8 | Newbee | 10.634655 | 0.915161 |
| 6 | Royal Never Give Up | 9.441427 | 0.915161 |
| 5 | Evil Geniuses | 8.551742 | 0.915161 |
| 9 | TNC Predator | 8.062199 | 0.915161 |
| 11 | Fnatic | 7.491167 | 0.915161 |
| 7 | Infamous Gaming | 6.233234 | 0.915161 |
| 16 | KEEN GAMING | 5.833543 | 0.915161 |
| 10 | Virtus.pro | 4.816592 | 0.915161 |
| 17 | Ninjas in Pyjamas | 3.058589 | 0.915161 |
| 15 | Chaos Esports Club | 2.348975 | 0.915161 |
| 12 | Alliance | 1.000000 | 0.915161 |
Teamhg3
| Teams | Ranks | Draft Advantage 1 | |
|---|---|---|---|
| 0 | OG | 2.013910 | 2.142735 |
| 1 | Team Liquid | 1.343531 | 2.142735 |
| 2 | PSG.LGD | 1.569671 | 2.142735 |
| 3 | Team Secret | 1.868233 | 2.142735 |
| 4 | Vici Gaming | 1.592119 | 2.142735 |
| 5 | Evil Geniuses | 1.278382 | 2.142735 |
| 6 | Royal Never Give Up | 1.182304 | 2.142735 |
| 7 | Infamous Gaming | 1.305086 | 2.142735 |
| 8 | Newbee | 1.379038 | 2.142735 |
| 9 | TNC Predator | 1.433063 | 2.142735 |
| 10 | Virtus.pro | 1.187189 | 2.142735 |
| 11 | Fnatic | 1.303137 | 2.142735 |
| 12 | Alliance | 1.035370 | 2.142735 |
| 13 | Mineski | 1.202711 | 2.142735 |
| 14 | Natus Vincere | 2.176091 | 2.142735 |
| 15 | Chaos Esports Club | 1.047717 | 2.142735 |
| 16 | KEEN GAMING | 1.266254 | 2.142735 |
| 17 | Ninjas in Pyjamas | 1.109520 | 2.142735 |
test_accuracy4
0.4895833333333333
test_accuracy5
0.6041666666666666
teamhg3
--------------------------------------------------------------------------- NameError Traceback (most recent call last) <ipython-input-71-e0d03c8bcd9d> in <module> ----> 1 teamhg3 NameError: name 'teamhg3' is not defined
Teamhg3
testGames
testHeroes1
Teamhg3
Need to do some testing against coin-flip
cointoss = []
for i in range(10000):
wins = 0
for i in testGames["Winner"]:
if i == random.randint(0,1):
wins+=1
cointoss.append(wins)
np.mean(cointoss)/len(testGames["Winner"])
0.499771875
sum(binWins)/len(binWins)
0.46113989637305697
teamhg
cointoss
[47, 55, 50, 50, 41, 48, 54, 47, 55, 46, 45, 52, 52, 50, 48, 48, 49, 52, 44, 43, 45, 46, 55, 49, 45, 47, 42, 51, 60, 53, 50, 53, 43, 50, 48, 50, 41, 51, 52, 47, 44, 59, 57, 43, 48, 50, 42, 43, 58, 50, 54, 45, 46, 48, 46, 54, 48, 45, 50, 47, 48, 54, 51, 54, 55, 52, 40, 46, 50, 51, 49, 44, 55, 54, 50, 48, 45, 55, 43, 52, 48, 48, 42, 42, 48, 53, 50, 43, 43, 52, 51, 52, 42, 47, 46, 47, 55, 51, 46, 42, 49, 38, 47, 54, 48, 56, 45, 47, 56, 40, 43, 52, 48, 48, 39, 49, 45, 49, 44, 50, 45, 43, 46, 48, 42, 53, 48, 54, 56, 48, 51, 48, 52, 39, 35, 59, 55, 49, 51, 47, 50, 57, 48, 49, 43, 43, 51, 49, 50, 45, 49, 46, 49, 56, 42, 47, 48, 52, 39, 42, 43, 50, 51, 54, 52, 51, 41, 46, 41, 42, 46, 50, 42, 48, 49, 39, 48, 53, 51, 43, 47, 42, 50, 41, 50, 47, 51, 57, 54, 53, 52, 53, 42, 46, 45, 53, 52, 57, 43, 46, 50, 49, 42, 51, 46, 47, 51, 48, 50, 46, 42, 44, 39, 53, 37, 50, 49, 51, 48, 47, 48, 52, 49, 56, 41, 56, 45, 32, 47, 44, 38, 47, 52, 44, 53, 48, 45, 45, 51, 61, 56, 45, 47, 43, 45, 52, 42, 50, 47, 43, 48, 60, 42, 50, 49, 48, 51, 51, 55, 62, 49, 56, 40, 39, 43, 46, 51, 49, 48, 37, 50, 49, 52, 44, 42, 49, 50, 57, 56, 45, 45, 44, 46, 54, 47, 52, 53, 53, 48, 42, 46, 46, 44, 42, 42, 47, 56, 57, 48, 46, 52, 57, 48, 44, 46, 42, 49, 49, 46, 39, 46, 49, 50, 52, 43, 45, 49, 44, 54, 42, 55, 38, 43, 42, 55, 46, 51, 51, 47, 43, 50, 43, 44, 54, 46, 56, 42, 58, 42, 43, 54, 40, 44, 46, 56, 51, 41, 48, 59, 44, 48, 41, 52, 41, 54, 46, 57, 45, 45, 43, 39, 53, 54, 52, 49, 48, 45, 44, 48, 54, 47, 41, 43, 56, 48, 44, 45, 51, 54, 51, 47, 46, 47, 49, 44, 54, 44, 45, 49, 46, 43, 48, 58, 44, 49, 49, 43, 42, 46, 46, 48, 43, 43, 50, 43, 51, 50, 54, 57, 49, 41, 41, 47, 45, 46, 41, 48, 52, 53, 44, 43, 32, 53, 47, 47, 53, 45, 51, 45, 36, 50, 45, 48, 46, 54, 51, 32, 49, 49, 40, 47, 54, 41, 48, 42, 52, 45, 45, 50, 45, 48, 47, 42, 39, 39, 40, 42, 47, 50, 46, 43, 48, 42, 43, 52, 51, 46, 46, 39, 56, 53, 61, 55, 49, 41, 53, 50, 46, 47, 52, 45, 52, 50, 57, 51, 42, 46, 52, 51, 50, 50, 53, 44, 48, 45, 45, 53, 47, 49, 46, 52, 47, 48, 49, 45, 57, 43, 46, 55, 46, 53, 51, 44, 54, 46, 46, 51, 55, 47, 43, 46, 39, 45, 52, 52, 49, 43, 48, 43, 47, 39, 51, 49, 40, 44, 53, 48, 54, 47, 45, 46, 37, 46, 45, 45, 45, 44, 45, 48, 65, 48, 37, 48, 48, 43, 50, 38, 48, 45, 51, 47, 48, 49, 53, 58, 50, 51, 42, 50, 38, 37, 47, 51, 50, 48, 55, 45, 50, 50, 56, 48, 49, 51, 42, 51, 44, 40, 41, 42, 40, 42, 44, 36, 54, 52, 45, 43, 49, 45, 53, 44, 56, 52, 56, 52, 45, 51, 40, 45, 52, 45, 49, 54, 53, 53, 43, 47, 46, 48, 46, 54, 40, 51, 53, 48, 52, 37, 53, 46, 63, 51, 52, 50, 46, 45, 49, 51, 38, 52, 35, 46, 53, 53, 49, 48, 47, 56, 46, 51, 50, 48, 42, 47, 49, 45, 49, 48, 44, 47, 50, 50, 43, 44, 43, 54, 40, 52, 44, 46, 51, 43, 47, 40, 51, 54, 54, 55, 49, 42, 55, 57, 47, 43, 42, 39, 44, 45, 48, 47, 48, 45, 51, 51, 58, 53, 55, 58, 49, 39, 54, 47, 54, 52, 48, 46, 45, 48, 49, 50, 56, 49, 46, 43, 56, 49, 46, 50, 49, 53, 47, 45, 45, 47, 51, 42, 49, 54, 54, 54, 37, 55, 46, 51, 42, 48, 48, 58, 43, 48, 41, 49, 44, 44, 38, 49, 47, 44, 55, 39, 53, 56, 42, 52, 53, 48, 50, 55, 52, 45, 50, 51, 50, 44, 47, 46, 44, 50, 54, 46, 50, 50, 49, 41, 56, 49, 34, 54, 47, 55, 45, 50, 57, 44, 44, 50, 48, 53, 41, 47, 43, 49, 40, 48, 41, 50, 46, 50, 52, 43, 53, 54, 42, 46, 43, 44, 50, 52, 58, 42, 43, 48, 44, 46, 49, 45, 50, 45, 61, 47, 42, 48, 50, 54, 52, 43, 50, 53, 41, 51, 49, 49, 52, 44, 49, 40, 41, 51, 42, 47, 54, 51, 49, 44, 49, 47, 50, 47, 50, 50, 58, 50, 48, 44, 48, 60, 45, 41, 41, 51, 52, 55, 47, 41, 47, 46, 52, 59, 52, 52, 48, 40, 44, 50, 50, 46, 55, 50, 54, 43, 32, 33, 49, 42, 49, 47, 47, 54, 46, 47, 51, 44, 48, 44, 55, 46, 38, 54, 44, 52, 61, 45, 45, 50, 48, 48, 47, 46, 41, 49, 38, 55, 40, 39, 42, 58, 57, 52, 53, 46, 41, 54, 45, 46, 46, 52, 45, 45, 47, 54, 57, 47, 57, 51, 46, 40, 51, 50, 43, 49, 42, 44, 52, 45, 57, 49, 51, 51, 47, 45, 41, 40, 49, 50, 50, 47, 46, 52, 40, 46, 43, 51, 49, 52, 55, 48, 43, 53, 47, 53, 43, 49, 57, 44, 51, 52, 37, 46, 46, 47, 57, 50, 47, 48, 43, 48, 42, 51, 49, 54, 48, 48, 45, 41, 48, 52, 53, 44, 43, 48, 44, ...]
test_accuracy1
0.5104166666666666
test_accuracy2
0.5
test_accuracy3
0.5520833333333334
test_accuracy4
0.4895833333333333
test_accuracy5
0.6041666666666666
np.mean(cointoss)/len(testGames["Winner"])
0.499771875